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Finding the Fourth Proportional to 10,873.60, 16,345.20 and 10,103.20

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Solution

The fourth proportional to 10,873.60, 16,345.20 and 10,103.20 is: 15,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.60 : 16,345.20 = 10,103.20 : x
  2. Step 2: Convert to fraction form
    10,873.60/16,345.20 = 10,103.20/x
  3. Step 3: Cross multiply
    10,873.60x = 16,345.20 × 10,103.20
  4. Step 4: Simplify right side
    10,873.60x = 165,138,824.64
  5. Step 5: Solve for x
    x = 165,138,824.64/10,873.60
  6. Step 6: Final answer
    x = 15,187.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.