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Finding the Fourth Proportional to 16,878.96, 25,316.52 and 4,566

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Solution

The fourth proportional to 16,878.96, 25,316.52 and 4,566 is: 6,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.96 : 25,316.52 = 4,566 : x
  2. Step 2: Convert to fraction form
    16,878.96/25,316.52 = 4,566/x
  3. Step 3: Cross multiply
    16,878.96x = 25,316.52 × 4,566
  4. Step 4: Simplify right side
    16,878.96x = 115,595,230.32
  5. Step 5: Solve for x
    x = 115,595,230.32/16,878.96
  6. Step 6: Final answer
    x = 6,848.48

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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.