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Finding the Fourth Proportional to 17,815.92, 24,585.84 and 10,746.24

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Solution

The fourth proportional to 17,815.92, 24,585.84 and 10,746.24 is: 14,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,815.92 : 24,585.84 = 10,746.24 : x
  2. Step 2: Convert to fraction form
    17,815.92/24,585.84 = 10,746.24/x
  3. Step 3: Cross multiply
    17,815.92x = 24,585.84 × 10,746.24
  4. Step 4: Simplify right side
    17,815.92x = 264,205,337.24
  5. Step 5: Solve for x
    x = 264,205,337.24/17,815.92
  6. Step 6: Final answer
    x = 14,829.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.