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Finding the Fourth Proportional to 18,031.78, 24,883.40 and 10,074.06

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Solution

The fourth proportional to 18,031.78, 24,883.40 and 10,074.06 is: 13,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,031.78 : 24,883.40 = 10,074.06 : x
  2. Step 2: Convert to fraction form
    18,031.78/24,883.40 = 10,074.06/x
  3. Step 3: Cross multiply
    18,031.78x = 24,883.40 × 10,074.06
  4. Step 4: Simplify right side
    18,031.78x = 250,676,959.77
  5. Step 5: Solve for x
    x = 250,676,959.77/18,031.78
  6. Step 6: Final answer
    x = 13,901.95

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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.