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Finding the Fourth Proportional to 16,876.16, 25,313.92 and 4,564.16

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Solution

The fourth proportional to 16,876.16, 25,313.92 and 4,564.16 is: 6,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.16 : 25,313.92 = 4,564.16 : x
  2. Step 2: Convert to fraction form
    16,876.16/25,313.92 = 4,564.16/x
  3. Step 3: Cross multiply
    16,876.16x = 25,313.92 × 4,564.16
  4. Step 4: Simplify right side
    16,876.16x = 115,536,781.11
  5. Step 5: Solve for x
    x = 115,536,781.11/16,876.16
  6. Step 6: Final answer
    x = 6,846.15

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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.