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Finding the Fourth Proportional to 29,877.12, 41,230.12 and 16,448.20

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Solution

The fourth proportional to 29,877.12, 41,230.12 and 16,448.20 is: 22,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877.12 : 41,230.12 = 16,448.20 : x
  2. Step 2: Convert to fraction form
    29,877.12/41,230.12 = 16,448.20/x
  3. Step 3: Cross multiply
    29,877.12x = 41,230.12 × 16,448.20
  4. Step 4: Simplify right side
    29,877.12x = 678,161,259.78
  5. Step 5: Solve for x
    x = 678,161,259.78/29,877.12
  6. Step 6: Final answer
    x = 22,698.35

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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.