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Finding the Fourth Proportional to 15,042.44, 22,565.82 and 4,655

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Solution

The fourth proportional to 15,042.44, 22,565.82 and 4,655 is: 6,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,042.44 : 22,565.82 = 4,655 : x
  2. Step 2: Convert to fraction form
    15,042.44/22,565.82 = 4,655/x
  3. Step 3: Cross multiply
    15,042.44x = 22,565.82 × 4,655
  4. Step 4: Simplify right side
    15,042.44x = 105,043,892.10
  5. Step 5: Solve for x
    x = 105,043,892.10/15,042.44
  6. Step 6: Final answer
    x = 6,983.17

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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.