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Finding the Fourth Proportional to 24,972.40, 34,461.96 and 13,642.12

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Solution

The fourth proportional to 24,972.40, 34,461.96 and 13,642.12 is: 18,826.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,972.40 : 34,461.96 = 13,642.12 : x
  2. Step 2: Convert to fraction form
    24,972.40/34,461.96 = 13,642.12/x
  3. Step 3: Cross multiply
    24,972.40x = 34,461.96 × 13,642.12
  4. Step 4: Simplify right side
    24,972.40x = 470,134,106.93
  5. Step 5: Solve for x
    x = 470,134,106.93/24,972.40
  6. Step 6: Final answer
    x = 18,826.15

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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.