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Finding the Fourth Proportional to 15,831.04, 21,843.20 and 9,541.12

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Solution

The fourth proportional to 15,831.04, 21,843.20 and 9,541.12 is: 13,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.04 : 21,843.20 = 9,541.12 : x
  2. Step 2: Convert to fraction form
    15,831.04/21,843.20 = 9,541.12/x
  3. Step 3: Cross multiply
    15,831.04x = 21,843.20 × 9,541.12
  4. Step 4: Simplify right side
    15,831.04x = 208,408,592.38
  5. Step 5: Solve for x
    x = 208,408,592.38/15,831.04
  6. Step 6: Final answer
    x = 13,164.55

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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.