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Finding the Fourth Proportional to 14,527.68, 20,049.12 and 8,237.76

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Solution

The fourth proportional to 14,527.68, 20,049.12 and 8,237.76 is: 11,368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.68 : 20,049.12 = 8,237.76 : x
  2. Step 2: Convert to fraction form
    14,527.68/20,049.12 = 8,237.76/x
  3. Step 3: Cross multiply
    14,527.68x = 20,049.12 × 8,237.76
  4. Step 4: Simplify right side
    14,527.68x = 165,159,838.77
  5. Step 5: Solve for x
    x = 165,159,838.77/14,527.68
  6. Step 6: Final answer
    x = 11,368.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.