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Finding the Fourth Proportional to 15,633.65, 21,572.38 and 9,586.60

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Solution

The fourth proportional to 15,633.65, 21,572.38 and 9,586.60 is: 13,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.65 : 21,572.38 = 9,586.60 : x
  2. Step 2: Convert to fraction form
    15,633.65/21,572.38 = 9,586.60/x
  3. Step 3: Cross multiply
    15,633.65x = 21,572.38 × 9,586.60
  4. Step 4: Simplify right side
    15,633.65x = 206,805,778.11
  5. Step 5: Solve for x
    x = 206,805,778.11/15,633.65
  6. Step 6: Final answer
    x = 13,228.25

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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.