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Finding the Fourth Proportional to 15,034.68, 22,554.86 and 4,644

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Solution

The fourth proportional to 15,034.68, 22,554.86 and 4,644 is: 6,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034.68 : 22,554.86 = 4,644 : x
  2. Step 2: Convert to fraction form
    15,034.68/22,554.86 = 4,644/x
  3. Step 3: Cross multiply
    15,034.68x = 22,554.86 × 4,644
  4. Step 4: Simplify right side
    15,034.68x = 104,744,746.62
  5. Step 5: Solve for x
    x = 104,744,746.62/15,034.68
  6. Step 6: Final answer
    x = 6,966.88

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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.