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Finding the Fourth Proportional to 16,278.40, 24,417.60 and 11,904.40

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Solution

The fourth proportional to 16,278.40, 24,417.60 and 11,904.40 is: 17,856.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.40 : 24,417.60 = 11,904.40 : x
  2. Step 2: Convert to fraction form
    16,278.40/24,417.60 = 11,904.40/x
  3. Step 3: Cross multiply
    16,278.40x = 24,417.60 × 11,904.40
  4. Step 4: Simplify right side
    16,278.40x = 290,676,877.44
  5. Step 5: Solve for x
    x = 290,676,877.44/16,278.40
  6. Step 6: Final answer
    x = 17,856.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.