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Finding the Fourth Proportional to 17,877.92, 24,671.76 and 10,802.48

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Solution

The fourth proportional to 17,877.92, 24,671.76 and 10,802.48 is: 14,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.92 : 24,671.76 = 10,802.48 : x
  2. Step 2: Convert to fraction form
    17,877.92/24,671.76 = 10,802.48/x
  3. Step 3: Cross multiply
    17,877.92x = 24,671.76 × 10,802.48
  4. Step 4: Simplify right side
    17,877.92x = 266,516,193.96
  5. Step 5: Solve for x
    x = 266,516,193.96/17,877.92
  6. Step 6: Final answer
    x = 14,907.56

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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.