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Finding the Fourth Proportional to 17,876.16, 24,671.52 and 10,424.16

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Solution

The fourth proportional to 17,876.16, 24,671.52 and 10,424.16 is: 14,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.16 : 24,671.52 = 10,424.16 : x
  2. Step 2: Convert to fraction form
    17,876.16/24,671.52 = 10,424.16/x
  3. Step 3: Cross multiply
    17,876.16x = 24,671.52 × 10,424.16
  4. Step 4: Simplify right side
    17,876.16x = 257,179,871.92
  5. Step 5: Solve for x
    x = 257,179,871.92/17,876.16
  6. Step 6: Final answer
    x = 14,386.75

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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.