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Finding the Fourth Proportional to 29,406.38, 40,586.27 and 16,831.13

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Solution

The fourth proportional to 29,406.38, 40,586.27 and 16,831.13 is: 23,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.38 : 40,586.27 = 16,831.13 : x
  2. Step 2: Convert to fraction form
    29,406.38/40,586.27 = 16,831.13/x
  3. Step 3: Cross multiply
    29,406.38x = 40,586.27 × 16,831.13
  4. Step 4: Simplify right side
    29,406.38x = 683,112,499.50
  5. Step 5: Solve for x
    x = 683,112,499.50/29,406.38
  6. Step 6: Final answer
    x = 23,230.08

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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.