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Finding the Fourth Proportional to 14,882.76, 20,552.04 and 9,586.68

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Solution

The fourth proportional to 14,882.76, 20,552.04 and 9,586.68 is: 13,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.76 : 20,552.04 = 9,586.68 : x
  2. Step 2: Convert to fraction form
    14,882.76/20,552.04 = 9,586.68/x
  3. Step 3: Cross multiply
    14,882.76x = 20,552.04 × 9,586.68
  4. Step 4: Simplify right side
    14,882.76x = 197,025,830.83
  5. Step 5: Solve for x
    x = 197,025,830.83/14,882.76
  6. Step 6: Final answer
    x = 13,238.53

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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.