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Finding the Fourth Proportional to 15,699, 23,488.02 and 15,586.68

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Solution

The fourth proportional to 15,699, 23,488.02 and 15,586.68 is: 23,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,699 : 23,488.02 = 15,586.68 : x
  2. Step 2: Convert to fraction form
    15,699/23,488.02 = 15,586.68/x
  3. Step 3: Cross multiply
    15,699x = 23,488.02 × 15,586.68
  4. Step 4: Simplify right side
    15,699x = 366,100,251.57
  5. Step 5: Solve for x
    x = 366,100,251.57/15,699
  6. Step 6: Final answer
    x = 23,319.97

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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.