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Finding the Fourth Proportional to 12,147.14, 18,225.16 and 5,128.94

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Solution

The fourth proportional to 12,147.14, 18,225.16 and 5,128.94 is: 7,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.14 : 18,225.16 = 5,128.94 : x
  2. Step 2: Convert to fraction form
    12,147.14/18,225.16 = 5,128.94/x
  3. Step 3: Cross multiply
    12,147.14x = 18,225.16 × 5,128.94
  4. Step 4: Simplify right side
    12,147.14x = 93,475,752.13
  5. Step 5: Solve for x
    x = 93,475,752.13/12,147.14
  6. Step 6: Final answer
    x = 7,695.29

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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.