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Finding the Fourth Proportional to 15,732.40, 21,706.32 and 9,764.32

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Solution

The fourth proportional to 15,732.40, 21,706.32 and 9,764.32 is: 13,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.40 : 21,706.32 = 9,764.32 : x
  2. Step 2: Convert to fraction form
    15,732.40/21,706.32 = 9,764.32/x
  3. Step 3: Cross multiply
    15,732.40x = 21,706.32 × 9,764.32
  4. Step 4: Simplify right side
    15,732.40x = 211,947,454.50
  5. Step 5: Solve for x
    x = 211,947,454.50/15,732.40
  6. Step 6: Final answer
    x = 13,472.04

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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.