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Finding the Fourth Proportional to 17,804.61, 24,572.77 and 10,252.17

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Solution

The fourth proportional to 17,804.61, 24,572.77 and 10,252.17 is: 14,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.61 : 24,572.77 = 10,252.17 : x
  2. Step 2: Convert to fraction form
    17,804.61/24,572.77 = 10,252.17/x
  3. Step 3: Cross multiply
    17,804.61x = 24,572.77 × 10,252.17
  4. Step 4: Simplify right side
    17,804.61x = 251,924,189.78
  5. Step 5: Solve for x
    x = 251,924,189.78/17,804.61
  6. Step 6: Final answer
    x = 14,149.38

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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.