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Finding the Fourth Proportional to 12,641.32, 18,924.54 and 9,369.10

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Solution

The fourth proportional to 12,641.32, 18,924.54 and 9,369.10 is: 14,025.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.32 : 18,924.54 = 9,369.10 : x
  2. Step 2: Convert to fraction form
    12,641.32/18,924.54 = 9,369.10/x
  3. Step 3: Cross multiply
    12,641.32x = 18,924.54 × 9,369.10
  4. Step 4: Simplify right side
    12,641.32x = 177,305,907.71
  5. Step 5: Solve for x
    x = 177,305,907.71/12,641.32
  6. Step 6: Final answer
    x = 14,025.90

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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.