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Finding the Fourth Proportional to 12,624.52, 17,417.38 and 7,584.80

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Solution

The fourth proportional to 12,624.52, 17,417.38 and 7,584.80 is: 10,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624.52 : 17,417.38 = 7,584.80 : x
  2. Step 2: Convert to fraction form
    12,624.52/17,417.38 = 7,584.80/x
  3. Step 3: Cross multiply
    12,624.52x = 17,417.38 × 7,584.80
  4. Step 4: Simplify right side
    12,624.52x = 132,107,343.82
  5. Step 5: Solve for x
    x = 132,107,343.82/12,624.52
  6. Step 6: Final answer
    x = 10,464.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.