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Finding the Fourth Proportional to 16,857.76, 25,289.88 and 6,468.70

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Solution

The fourth proportional to 16,857.76, 25,289.88 and 6,468.70 is: 9,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.76 : 25,289.88 = 6,468.70 : x
  2. Step 2: Convert to fraction form
    16,857.76/25,289.88 = 6,468.70/x
  3. Step 3: Cross multiply
    16,857.76x = 25,289.88 × 6,468.70
  4. Step 4: Simplify right side
    16,857.76x = 163,592,646.76
  5. Step 5: Solve for x
    x = 163,592,646.76/16,857.76
  6. Step 6: Final answer
    x = 9,704.29

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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.