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Finding the Fourth Proportional to 23,031.34, 34,557.94 and 9,887.46

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Solution

The fourth proportional to 23,031.34, 34,557.94 and 9,887.46 is: 14,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.34 : 34,557.94 = 9,887.46 : x
  2. Step 2: Convert to fraction form
    23,031.34/34,557.94 = 9,887.46/x
  3. Step 3: Cross multiply
    23,031.34x = 34,557.94 × 9,887.46
  4. Step 4: Simplify right side
    23,031.34x = 341,690,249.43
  5. Step 5: Solve for x
    x = 341,690,249.43/23,031.34
  6. Step 6: Final answer
    x = 14,835.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.