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Finding the Fourth Proportional to 38,423.88, 57,635.82 and 10,344

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Solution

The fourth proportional to 38,423.88, 57,635.82 and 10,344 is: 15,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.88 : 57,635.82 = 10,344 : x
  2. Step 2: Convert to fraction form
    38,423.88/57,635.82 = 10,344/x
  3. Step 3: Cross multiply
    38,423.88x = 57,635.82 × 10,344
  4. Step 4: Simplify right side
    38,423.88x = 596,184,922.08
  5. Step 5: Solve for x
    x = 596,184,922.08/38,423.88
  6. Step 6: Final answer
    x = 15,516.00

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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.