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Finding the Fourth Proportional to 14,541.29, 21,773.85 and 9,527.90

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Solution

The fourth proportional to 14,541.29, 21,773.85 and 9,527.90 is: 14,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,541.29 : 21,773.85 = 9,527.90 : x
  2. Step 2: Convert to fraction form
    14,541.29/21,773.85 = 9,527.90/x
  3. Step 3: Cross multiply
    14,541.29x = 21,773.85 × 9,527.90
  4. Step 4: Simplify right side
    14,541.29x = 207,458,956.55
  5. Step 5: Solve for x
    x = 207,458,956.55/14,541.29
  6. Step 6: Final answer
    x = 14,266.89

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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.