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Finding the Fourth Proportional to 21,702.18, 32,554.89 and 9,220.80

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Solution

The fourth proportional to 21,702.18, 32,554.89 and 9,220.80 is: 13,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.18 : 32,554.89 = 9,220.80 : x
  2. Step 2: Convert to fraction form
    21,702.18/32,554.89 = 9,220.80/x
  3. Step 3: Cross multiply
    21,702.18x = 32,554.89 × 9,220.80
  4. Step 4: Simplify right side
    21,702.18x = 300,182,129.71
  5. Step 5: Solve for x
    x = 300,182,129.71/21,702.18
  6. Step 6: Final answer
    x = 13,831.89

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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.