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Finding the Fourth Proportional to 17,802.17, 24,567.15 and 9,844.92

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Solution

The fourth proportional to 17,802.17, 24,567.15 and 9,844.92 is: 13,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.17 : 24,567.15 = 9,844.92 : x
  2. Step 2: Convert to fraction form
    17,802.17/24,567.15 = 9,844.92/x
  3. Step 3: Cross multiply
    17,802.17x = 24,567.15 × 9,844.92
  4. Step 4: Simplify right side
    17,802.17x = 241,861,626.38
  5. Step 5: Solve for x
    x = 241,861,626.38/17,802.17
  6. Step 6: Final answer
    x = 13,586.08

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Why These Related Problems?

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