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Finding the Fourth Proportional to 29,643.72, 40,908.66 and 16,214.68

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Solution

The fourth proportional to 29,643.72, 40,908.66 and 16,214.68 is: 22,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.72 : 40,908.66 = 16,214.68 : x
  2. Step 2: Convert to fraction form
    29,643.72/40,908.66 = 16,214.68/x
  3. Step 3: Cross multiply
    29,643.72x = 40,908.66 × 16,214.68
  4. Step 4: Simplify right side
    29,643.72x = 663,320,831.13
  5. Step 5: Solve for x
    x = 663,320,831.13/29,643.72
  6. Step 6: Final answer
    x = 22,376.44

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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.