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Finding the Fourth Proportional to 15,077.66, 22,613.41 and 5,714.45

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Solution

The fourth proportional to 15,077.66, 22,613.41 and 5,714.45 is: 8,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.66 : 22,613.41 = 5,714.45 : x
  2. Step 2: Convert to fraction form
    15,077.66/22,613.41 = 5,714.45/x
  3. Step 3: Cross multiply
    15,077.66x = 22,613.41 × 5,714.45
  4. Step 4: Simplify right side
    15,077.66x = 129,223,059.14
  5. Step 5: Solve for x
    x = 129,223,059.14/15,077.66
  6. Step 6: Final answer
    x = 8,570.50

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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.