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Finding the Fourth Proportional to 24,758.41, 34,165.90 and 14,148.02

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Solution

The fourth proportional to 24,758.41, 34,165.90 and 14,148.02 is: 19,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.41 : 34,165.90 = 14,148.02 : x
  2. Step 2: Convert to fraction form
    24,758.41/34,165.90 = 14,148.02/x
  3. Step 3: Cross multiply
    24,758.41x = 34,165.90 × 14,148.02
  4. Step 4: Simplify right side
    24,758.41x = 483,379,836.52
  5. Step 5: Solve for x
    x = 483,379,836.52/24,758.41
  6. Step 6: Final answer
    x = 19,523.86

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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.