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Finding the Fourth Proportional to 17,943.57, 24,763.29 and 9,985.77

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Solution

The fourth proportional to 17,943.57, 24,763.29 and 9,985.77 is: 13,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,943.57 : 24,763.29 = 9,985.77 : x
  2. Step 2: Convert to fraction form
    17,943.57/24,763.29 = 9,985.77/x
  3. Step 3: Cross multiply
    17,943.57x = 24,763.29 × 9,985.77
  4. Step 4: Simplify right side
    17,943.57x = 247,280,518.38
  5. Step 5: Solve for x
    x = 247,280,518.38/17,943.57
  6. Step 6: Final answer
    x = 13,781.01

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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.