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Finding the Fourth Proportional to 29,831.04, 41,165.76 and 16,402.20

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Solution

The fourth proportional to 29,831.04, 41,165.76 and 16,402.20 is: 22,634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,831.04 : 41,165.76 = 16,402.20 : x
  2. Step 2: Convert to fraction form
    29,831.04/41,165.76 = 16,402.20/x
  3. Step 3: Cross multiply
    29,831.04x = 41,165.76 × 16,402.20
  4. Step 4: Simplify right side
    29,831.04x = 675,209,028.67
  5. Step 5: Solve for x
    x = 675,209,028.67/29,831.04
  6. Step 6: Final answer
    x = 22,634.44

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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.