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Finding the Fourth Proportional to 14,301.64, 21,446.52 and 5,531.50

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Solution

The fourth proportional to 14,301.64, 21,446.52 and 5,531.50 is: 8,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.64 : 21,446.52 = 5,531.50 : x
  2. Step 2: Convert to fraction form
    14,301.64/21,446.52 = 5,531.50/x
  3. Step 3: Cross multiply
    14,301.64x = 21,446.52 × 5,531.50
  4. Step 4: Simplify right side
    14,301.64x = 118,631,425.38
  5. Step 5: Solve for x
    x = 118,631,425.38/14,301.64
  6. Step 6: Final answer
    x = 8,294.95

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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.