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Finding the Fourth Proportional to 21,702.30, 32,553.33 and 9,220.40

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Solution

The fourth proportional to 21,702.30, 32,553.33 and 9,220.40 is: 13,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.30 : 32,553.33 = 9,220.40 : x
  2. Step 2: Convert to fraction form
    21,702.30/32,553.33 = 9,220.40/x
  3. Step 3: Cross multiply
    21,702.30x = 32,553.33 × 9,220.40
  4. Step 4: Simplify right side
    21,702.30x = 300,154,561.17
  5. Step 5: Solve for x
    x = 300,154,561.17/21,702.30
  6. Step 6: Final answer
    x = 13,830.54

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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.