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Finding the Fourth Proportional to 15,775.38, 21,766.99 and 9,488.16

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Solution

The fourth proportional to 15,775.38, 21,766.99 and 9,488.16 is: 13,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.38 : 21,766.99 = 9,488.16 : x
  2. Step 2: Convert to fraction form
    15,775.38/21,766.99 = 9,488.16/x
  3. Step 3: Cross multiply
    15,775.38x = 21,766.99 × 9,488.16
  4. Step 4: Simplify right side
    15,775.38x = 206,528,683.84
  5. Step 5: Solve for x
    x = 206,528,683.84/15,775.38
  6. Step 6: Final answer
    x = 13,091.84

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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.