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Finding the Fourth Proportional to 12,024.54, 16,591.04 and 6,985.78

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Solution

The fourth proportional to 12,024.54, 16,591.04 and 6,985.78 is: 9,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.54 : 16,591.04 = 6,985.78 : x
  2. Step 2: Convert to fraction form
    12,024.54/16,591.04 = 6,985.78/x
  3. Step 3: Cross multiply
    12,024.54x = 16,591.04 × 6,985.78
  4. Step 4: Simplify right side
    12,024.54x = 115,901,355.41
  5. Step 5: Solve for x
    x = 115,901,355.41/12,024.54
  6. Step 6: Final answer
    x = 9,638.74

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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.