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Finding the Fourth Proportional to 17,683.92, 24,400.44 and 10,607.76

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Solution

The fourth proportional to 17,683.92, 24,400.44 and 10,607.76 is: 14,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.92 : 24,400.44 = 10,607.76 : x
  2. Step 2: Convert to fraction form
    17,683.92/24,400.44 = 10,607.76/x
  3. Step 3: Cross multiply
    17,683.92x = 24,400.44 × 10,607.76
  4. Step 4: Simplify right side
    17,683.92x = 258,834,011.41
  5. Step 5: Solve for x
    x = 258,834,011.41/17,683.92
  6. Step 6: Final answer
    x = 14,636.69

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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.