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Finding the Fourth Proportional to 17,943.12, 24,758.46 and 9,985.28

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Solution

The fourth proportional to 17,943.12, 24,758.46 and 9,985.28 is: 13,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,943.12 : 24,758.46 = 9,985.28 : x
  2. Step 2: Convert to fraction form
    17,943.12/24,758.46 = 9,985.28/x
  3. Step 3: Cross multiply
    17,943.12x = 24,758.46 × 9,985.28
  4. Step 4: Simplify right side
    17,943.12x = 247,220,031.68
  5. Step 5: Solve for x
    x = 247,220,031.68/17,943.12
  6. Step 6: Final answer
    x = 13,777.98

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