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Finding the Fourth Proportional to 15,688.17, 21,640.64 and 9,396.90

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Solution

The fourth proportional to 15,688.17, 21,640.64 and 9,396.90 is: 12,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.17 : 21,640.64 = 9,396.90 : x
  2. Step 2: Convert to fraction form
    15,688.17/21,640.64 = 9,396.90/x
  3. Step 3: Cross multiply
    15,688.17x = 21,640.64 × 9,396.90
  4. Step 4: Simplify right side
    15,688.17x = 203,354,883.03
  5. Step 5: Solve for x
    x = 203,354,883.03/15,688.17
  6. Step 6: Final answer
    x = 12,962.31

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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.