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Finding the Fourth Proportional to 21,562.32, 32,343.48 and 9,702.24

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Solution

The fourth proportional to 21,562.32, 32,343.48 and 9,702.24 is: 14,553.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,562.32 : 32,343.48 = 9,702.24 : x
  2. Step 2: Convert to fraction form
    21,562.32/32,343.48 = 9,702.24/x
  3. Step 3: Cross multiply
    21,562.32x = 32,343.48 × 9,702.24
  4. Step 4: Simplify right side
    21,562.32x = 313,804,084.11
  5. Step 5: Solve for x
    x = 313,804,084.11/21,562.32
  6. Step 6: Final answer
    x = 14,553.35

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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.