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Finding the Fourth Proportional to 17,829.03, 24,605.30 and 9,871.76

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Solution

The fourth proportional to 17,829.03, 24,605.30 and 9,871.76 is: 13,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.03 : 24,605.30 = 9,871.76 : x
  2. Step 2: Convert to fraction form
    17,829.03/24,605.30 = 9,871.76/x
  3. Step 3: Cross multiply
    17,829.03x = 24,605.30 × 9,871.76
  4. Step 4: Simplify right side
    17,829.03x = 242,897,443.94
  5. Step 5: Solve for x
    x = 242,897,443.94/17,829.03
  6. Step 6: Final answer
    x = 13,623.70

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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.