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Finding the Fourth Proportional to 15,142, 22,714.13 and 4,048.43

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Solution

The fourth proportional to 15,142, 22,714.13 and 4,048.43 is: 6,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142 : 22,714.13 = 4,048.43 : x
  2. Step 2: Convert to fraction form
    15,142/22,714.13 = 4,048.43/x
  3. Step 3: Cross multiply
    15,142x = 22,714.13 × 4,048.43
  4. Step 4: Simplify right side
    15,142x = 91,956,565.32
  5. Step 5: Solve for x
    x = 91,956,565.32/15,142
  6. Step 6: Final answer
    x = 6,072.95

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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.