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Finding the Fourth Proportional to 17,977.22, 24,809.42 and 10,019.51

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Solution

The fourth proportional to 17,977.22, 24,809.42 and 10,019.51 is: 13,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.22 : 24,809.42 = 10,019.51 : x
  2. Step 2: Convert to fraction form
    17,977.22/24,809.42 = 10,019.51/x
  3. Step 3: Cross multiply
    17,977.22x = 24,809.42 × 10,019.51
  4. Step 4: Simplify right side
    17,977.22x = 248,578,057.64
  5. Step 5: Solve for x
    x = 248,578,057.64/17,977.22
  6. Step 6: Final answer
    x = 13,827.39

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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.