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Finding the Fourth Proportional to 17,653.85, 24,362.45 and 10,099.71

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Solution

The fourth proportional to 17,653.85, 24,362.45 and 10,099.71 is: 13,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653.85 : 24,362.45 = 10,099.71 : x
  2. Step 2: Convert to fraction form
    17,653.85/24,362.45 = 10,099.71/x
  3. Step 3: Cross multiply
    17,653.85x = 24,362.45 × 10,099.71
  4. Step 4: Simplify right side
    17,653.85x = 246,053,679.89
  5. Step 5: Solve for x
    x = 246,053,679.89/17,653.85
  6. Step 6: Final answer
    x = 13,937.68

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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.