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Finding the Fourth Proportional to 10,594.16, 15,844.60 and 9,432.40

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Solution

The fourth proportional to 10,594.16, 15,844.60 and 9,432.40 is: 14,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.16 : 15,844.60 = 9,432.40 : x
  2. Step 2: Convert to fraction form
    10,594.16/15,844.60 = 9,432.40/x
  3. Step 3: Cross multiply
    10,594.16x = 15,844.60 × 9,432.40
  4. Step 4: Simplify right side
    10,594.16x = 149,452,605.04
  5. Step 5: Solve for x
    x = 149,452,605.04/10,594.16
  6. Step 6: Final answer
    x = 14,107.07

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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.