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Finding the Fourth Proportional to 21,702.47, 32,580.29 and 14,313.11

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Solution

The fourth proportional to 21,702.47, 32,580.29 and 14,313.11 is: 21,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.47 : 32,580.29 = 14,313.11 : x
  2. Step 2: Convert to fraction form
    21,702.47/32,580.29 = 14,313.11/x
  3. Step 3: Cross multiply
    21,702.47x = 32,580.29 × 14,313.11
  4. Step 4: Simplify right side
    21,702.47x = 466,325,147.48
  5. Step 5: Solve for x
    x = 466,325,147.48/21,702.47
  6. Step 6: Final answer
    x = 21,487.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.