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Finding the Fourth Proportional to 17,707.78, 24,436.70 and 9,750

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Solution

The fourth proportional to 17,707.78, 24,436.70 and 9,750 is: 13,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.78 : 24,436.70 = 9,750 : x
  2. Step 2: Convert to fraction form
    17,707.78/24,436.70 = 9,750/x
  3. Step 3: Cross multiply
    17,707.78x = 24,436.70 × 9,750
  4. Step 4: Simplify right side
    17,707.78x = 238,257,825
  5. Step 5: Solve for x
    x = 238,257,825/17,707.78
  6. Step 6: Final answer
    x = 13,454.98

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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.