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Finding the Fourth Proportional to 14,204.38, 19,602.17 and 7,831.20

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Solution

The fourth proportional to 14,204.38, 19,602.17 and 7,831.20 is: 10,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.38 : 19,602.17 = 7,831.20 : x
  2. Step 2: Convert to fraction form
    14,204.38/19,602.17 = 7,831.20/x
  3. Step 3: Cross multiply
    14,204.38x = 19,602.17 × 7,831.20
  4. Step 4: Simplify right side
    14,204.38x = 153,508,533.28
  5. Step 5: Solve for x
    x = 153,508,533.28/14,204.38
  6. Step 6: Final answer
    x = 10,807.13

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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.