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Finding the Fourth Proportional to 24,748.41, 34,152.86 and 14,138.02

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Solution

The fourth proportional to 24,748.41, 34,152.86 and 14,138.02 is: 19,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,748.41 : 34,152.86 = 14,138.02 : x
  2. Step 2: Convert to fraction form
    24,748.41/34,152.86 = 14,138.02/x
  3. Step 3: Cross multiply
    24,748.41x = 34,152.86 × 14,138.02
  4. Step 4: Simplify right side
    24,748.41x = 482,853,817.74
  5. Step 5: Solve for x
    x = 482,853,817.74/24,748.41
  6. Step 6: Final answer
    x = 19,510.50

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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.