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Finding the Fourth Proportional to 16,449.15, 22,702.05 and 9,280.53

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Solution

The fourth proportional to 16,449.15, 22,702.05 and 9,280.53 is: 12,808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.15 : 22,702.05 = 9,280.53 : x
  2. Step 2: Convert to fraction form
    16,449.15/22,702.05 = 9,280.53/x
  3. Step 3: Cross multiply
    16,449.15x = 22,702.05 × 9,280.53
  4. Step 4: Simplify right side
    16,449.15x = 210,687,056.09
  5. Step 5: Solve for x
    x = 210,687,056.09/16,449.15
  6. Step 6: Final answer
    x = 12,808.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.