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Finding the Fourth Proportional to 24,691.84, 37,046.42 and 7,162.72

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Solution

The fourth proportional to 24,691.84, 37,046.42 and 7,162.72 is: 10,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691.84 : 37,046.42 = 7,162.72 : x
  2. Step 2: Convert to fraction form
    24,691.84/37,046.42 = 7,162.72/x
  3. Step 3: Cross multiply
    24,691.84x = 37,046.42 × 7,162.72
  4. Step 4: Simplify right side
    24,691.84x = 265,353,133.46
  5. Step 5: Solve for x
    x = 265,353,133.46/24,691.84
  6. Step 6: Final answer
    x = 10,746.59

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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.