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Finding the Fourth Proportional to 29,877.16, 41,228.88 and 16,445.80

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Solution

The fourth proportional to 29,877.16, 41,228.88 and 16,445.80 is: 22,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877.16 : 41,228.88 = 16,445.80 : x
  2. Step 2: Convert to fraction form
    29,877.16/41,228.88 = 16,445.80/x
  3. Step 3: Cross multiply
    29,877.16x = 41,228.88 × 16,445.80
  4. Step 4: Simplify right side
    29,877.16x = 678,041,914.70
  5. Step 5: Solve for x
    x = 678,041,914.70/29,877.16
  6. Step 6: Final answer
    x = 22,694.32

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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.