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Finding the Fourth Proportional to 14,600.56, 20,147.56 and 8,225.12

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Solution

The fourth proportional to 14,600.56, 20,147.56 and 8,225.12 is: 11,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.56 : 20,147.56 = 8,225.12 : x
  2. Step 2: Convert to fraction form
    14,600.56/20,147.56 = 8,225.12/x
  3. Step 3: Cross multiply
    14,600.56x = 20,147.56 × 8,225.12
  4. Step 4: Simplify right side
    14,600.56x = 165,716,098.71
  5. Step 5: Solve for x
    x = 165,716,098.71/14,600.56
  6. Step 6: Final answer
    x = 11,349.98

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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.