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Finding the Fourth Proportional to 15,081.80, 22,622.80 and 4,551.86

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Solution

The fourth proportional to 15,081.80, 22,622.80 and 4,551.86 is: 6,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,081.80 : 22,622.80 = 4,551.86 : x
  2. Step 2: Convert to fraction form
    15,081.80/22,622.80 = 4,551.86/x
  3. Step 3: Cross multiply
    15,081.80x = 22,622.80 × 4,551.86
  4. Step 4: Simplify right side
    15,081.80x = 102,975,818.41
  5. Step 5: Solve for x
    x = 102,975,818.41/15,081.80
  6. Step 6: Final answer
    x = 6,827.82

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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.