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Finding the Fourth Proportional to 12,385.78, 18,584.17 and 5,004.65

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Solution

The fourth proportional to 12,385.78, 18,584.17 and 5,004.65 is: 7,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.78 : 18,584.17 = 5,004.65 : x
  2. Step 2: Convert to fraction form
    12,385.78/18,584.17 = 5,004.65/x
  3. Step 3: Cross multiply
    12,385.78x = 18,584.17 × 5,004.65
  4. Step 4: Simplify right side
    12,385.78x = 93,007,300.34
  5. Step 5: Solve for x
    x = 93,007,300.34/12,385.78
  6. Step 6: Final answer
    x = 7,509.20

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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.