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Finding the Fourth Proportional to 17,865.30, 24,643.16 and 11,815.54

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Solution

The fourth proportional to 17,865.30, 24,643.16 and 11,815.54 is: 16,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.30 : 24,643.16 = 11,815.54 : x
  2. Step 2: Convert to fraction form
    17,865.30/24,643.16 = 11,815.54/x
  3. Step 3: Cross multiply
    17,865.30x = 24,643.16 × 11,815.54
  4. Step 4: Simplify right side
    17,865.30x = 291,172,242.71
  5. Step 5: Solve for x
    x = 291,172,242.71/17,865.30
  6. Step 6: Final answer
    x = 16,298.20

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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.