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Finding the Fourth Proportional to 21,128.55, 31,646.10 and 14,449.22

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Solution

The fourth proportional to 21,128.55, 31,646.10 and 14,449.22 is: 21,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,128.55 : 31,646.10 = 14,449.22 : x
  2. Step 2: Convert to fraction form
    21,128.55/31,646.10 = 14,449.22/x
  3. Step 3: Cross multiply
    21,128.55x = 31,646.10 × 14,449.22
  4. Step 4: Simplify right side
    21,128.55x = 457,261,302.81
  5. Step 5: Solve for x
    x = 457,261,302.81/21,128.55
  6. Step 6: Final answer
    x = 21,641.87

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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.