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Finding the Fourth Proportional to 15,821.40, 21,834.72 and 9,109.20

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Solution

The fourth proportional to 15,821.40, 21,834.72 and 9,109.20 is: 12,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.40 : 21,834.72 = 9,109.20 : x
  2. Step 2: Convert to fraction form
    15,821.40/21,834.72 = 9,109.20/x
  3. Step 3: Cross multiply
    15,821.40x = 21,834.72 × 9,109.20
  4. Step 4: Simplify right side
    15,821.40x = 198,896,831.42
  5. Step 5: Solve for x
    x = 198,896,831.42/15,821.40
  6. Step 6: Final answer
    x = 12,571.38

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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.