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Finding the Fourth Proportional to 17,977.40, 24,808.42 and 10,425.06

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Solution

The fourth proportional to 17,977.40, 24,808.42 and 10,425.06 is: 14,386.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.40 : 24,808.42 = 10,425.06 : x
  2. Step 2: Convert to fraction form
    17,977.40/24,808.42 = 10,425.06/x
  3. Step 3: Cross multiply
    17,977.40x = 24,808.42 × 10,425.06
  4. Step 4: Simplify right side
    17,977.40x = 258,629,267.01
  5. Step 5: Solve for x
    x = 258,629,267.01/17,977.40
  6. Step 6: Final answer
    x = 14,386.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.