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Finding the Fourth Proportional to 17,701.92, 24,428.02 and 9,743.40

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Solution

The fourth proportional to 17,701.92, 24,428.02 and 9,743.40 is: 13,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.92 : 24,428.02 = 9,743.40 : x
  2. Step 2: Convert to fraction form
    17,701.92/24,428.02 = 9,743.40/x
  3. Step 3: Cross multiply
    17,701.92x = 24,428.02 × 9,743.40
  4. Step 4: Simplify right side
    17,701.92x = 238,011,970.07
  5. Step 5: Solve for x
    x = 238,011,970.07/17,701.92
  6. Step 6: Final answer
    x = 13,445.55

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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.