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Finding the Fourth Proportional to 16,889.64, 25,337.52 and 5,200.13

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Solution

The fourth proportional to 16,889.64, 25,337.52 and 5,200.13 is: 7,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,889.64 : 25,337.52 = 5,200.13 : x
  2. Step 2: Convert to fraction form
    16,889.64/25,337.52 = 5,200.13/x
  3. Step 3: Cross multiply
    16,889.64x = 25,337.52 × 5,200.13
  4. Step 4: Simplify right side
    16,889.64x = 131,758,271.19
  5. Step 5: Solve for x
    x = 131,758,271.19/16,889.64
  6. Step 6: Final answer
    x = 7,801.13

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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.