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Finding the Fourth Proportional to 28,598.52, 42,874.74 and 12,194.04

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Solution

The fourth proportional to 28,598.52, 42,874.74 and 12,194.04 is: 18,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,598.52 : 42,874.74 = 12,194.04 : x
  2. Step 2: Convert to fraction form
    28,598.52/42,874.74 = 12,194.04/x
  3. Step 3: Cross multiply
    28,598.52x = 42,874.74 × 12,194.04
  4. Step 4: Simplify right side
    28,598.52x = 522,816,294.55
  5. Step 5: Solve for x
    x = 522,816,294.55/28,598.52
  6. Step 6: Final answer
    x = 18,281.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.