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Finding the Fourth Proportional to 29,831.15, 41,167.02 and 16,402.64

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Solution

The fourth proportional to 29,831.15, 41,167.02 and 16,402.64 is: 22,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,831.15 : 41,167.02 = 16,402.64 : x
  2. Step 2: Convert to fraction form
    29,831.15/41,167.02 = 16,402.64/x
  3. Step 3: Cross multiply
    29,831.15x = 41,167.02 × 16,402.64
  4. Step 4: Simplify right side
    29,831.15x = 675,247,808.93
  5. Step 5: Solve for x
    x = 675,247,808.93/29,831.15
  6. Step 6: Final answer
    x = 22,635.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.