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Finding the Fourth Proportional to 15,920.71, 21,964.59 and 9,868.19

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Solution

The fourth proportional to 15,920.71, 21,964.59 and 9,868.19 is: 13,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.71 : 21,964.59 = 9,868.19 : x
  2. Step 2: Convert to fraction form
    15,920.71/21,964.59 = 9,868.19/x
  3. Step 3: Cross multiply
    15,920.71x = 21,964.59 × 9,868.19
  4. Step 4: Simplify right side
    15,920.71x = 216,750,637.57
  5. Step 5: Solve for x
    x = 216,750,637.57/15,920.71
  6. Step 6: Final answer
    x = 13,614.38

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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.