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Finding the Fourth Proportional to 16,341.12, 24,498.72 and 5,947.20

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Solution

The fourth proportional to 16,341.12, 24,498.72 and 5,947.20 is: 8,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.12 : 24,498.72 = 5,947.20 : x
  2. Step 2: Convert to fraction form
    16,341.12/24,498.72 = 5,947.20/x
  3. Step 3: Cross multiply
    16,341.12x = 24,498.72 × 5,947.20
  4. Step 4: Simplify right side
    16,341.12x = 145,698,787.58
  5. Step 5: Solve for x
    x = 145,698,787.58/16,341.12
  6. Step 6: Final answer
    x = 8,916.08

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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.