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Finding the Fourth Proportional to 12,535.68, 17,294.66 and 7,500.04

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Solution

The fourth proportional to 12,535.68, 17,294.66 and 7,500.04 is: 10,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.68 : 17,294.66 = 7,500.04 : x
  2. Step 2: Convert to fraction form
    12,535.68/17,294.66 = 7,500.04/x
  3. Step 3: Cross multiply
    12,535.68x = 17,294.66 × 7,500.04
  4. Step 4: Simplify right side
    12,535.68x = 129,710,604.29
  5. Step 5: Solve for x
    x = 129,710,604.29/12,535.68
  6. Step 6: Final answer
    x = 10,347.32

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