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Finding the Fourth Proportional to 15,754.40, 21,737.04 and 9,785.60

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Solution

The fourth proportional to 15,754.40, 21,737.04 and 9,785.60 is: 13,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.40 : 21,737.04 = 9,785.60 : x
  2. Step 2: Convert to fraction form
    15,754.40/21,737.04 = 9,785.60/x
  3. Step 3: Cross multiply
    15,754.40x = 21,737.04 × 9,785.60
  4. Step 4: Simplify right side
    15,754.40x = 212,709,978.62
  5. Step 5: Solve for x
    x = 212,709,978.62/15,754.40
  6. Step 6: Final answer
    x = 13,501.62

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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.