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Finding the Fourth Proportional to 21,641.72, 32,436.54 and 14,148.80

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Solution

The fourth proportional to 21,641.72, 32,436.54 and 14,148.80 is: 21,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.72 : 32,436.54 = 14,148.80 : x
  2. Step 2: Convert to fraction form
    21,641.72/32,436.54 = 14,148.80/x
  3. Step 3: Cross multiply
    21,641.72x = 32,436.54 × 14,148.80
  4. Step 4: Simplify right side
    21,641.72x = 458,938,117.15
  5. Step 5: Solve for x
    x = 458,938,117.15/21,641.72
  6. Step 6: Final answer
    x = 21,206.18

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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.