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Finding the Fourth Proportional to 17,973.54, 24,803.70 and 10,420.40

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Solution

The fourth proportional to 17,973.54, 24,803.70 and 10,420.40 is: 14,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.54 : 24,803.70 = 10,420.40 : x
  2. Step 2: Convert to fraction form
    17,973.54/24,803.70 = 10,420.40/x
  3. Step 3: Cross multiply
    17,973.54x = 24,803.70 × 10,420.40
  4. Step 4: Simplify right side
    17,973.54x = 258,464,475.48
  5. Step 5: Solve for x
    x = 258,464,475.48/17,973.54
  6. Step 6: Final answer
    x = 14,380.28

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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.