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Finding the Fourth Proportional to 16,278.40, 22,465.92 and 12,505.60

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Solution

The fourth proportional to 16,278.40, 22,465.92 and 12,505.60 is: 17,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.40 : 22,465.92 = 12,505.60 : x
  2. Step 2: Convert to fraction form
    16,278.40/22,465.92 = 12,505.60/x
  3. Step 3: Cross multiply
    16,278.40x = 22,465.92 × 12,505.60
  4. Step 4: Simplify right side
    16,278.40x = 280,949,809.15
  5. Step 5: Solve for x
    x = 280,949,809.15/16,278.40
  6. Step 6: Final answer
    x = 17,259.06

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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.