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Finding the Fourth Proportional to 17,624.50, 26,428.56 and 6,530.74

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Solution

The fourth proportional to 17,624.50, 26,428.56 and 6,530.74 is: 9,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.50 : 26,428.56 = 6,530.74 : x
  2. Step 2: Convert to fraction form
    17,624.50/26,428.56 = 6,530.74/x
  3. Step 3: Cross multiply
    17,624.50x = 26,428.56 × 6,530.74
  4. Step 4: Simplify right side
    17,624.50x = 172,598,053.93
  5. Step 5: Solve for x
    x = 172,598,053.93/17,624.50
  6. Step 6: Final answer
    x = 9,793.08

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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.