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Finding the Fourth Proportional to 15,730.53, 21,706.85 and 9,016.74

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Solution

The fourth proportional to 15,730.53, 21,706.85 and 9,016.74 is: 12,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.53 : 21,706.85 = 9,016.74 : x
  2. Step 2: Convert to fraction form
    15,730.53/21,706.85 = 9,016.74/x
  3. Step 3: Cross multiply
    15,730.53x = 21,706.85 × 9,016.74
  4. Step 4: Simplify right side
    15,730.53x = 195,725,022.67
  5. Step 5: Solve for x
    x = 195,725,022.67/15,730.53
  6. Step 6: Final answer
    x = 12,442.37

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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.