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Finding the Fourth Proportional to 16,931.92, 23,367.50 and 9,859

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Solution

The fourth proportional to 16,931.92, 23,367.50 and 9,859 is: 13,606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,931.92 : 23,367.50 = 9,859 : x
  2. Step 2: Convert to fraction form
    16,931.92/23,367.50 = 9,859/x
  3. Step 3: Cross multiply
    16,931.92x = 23,367.50 × 9,859
  4. Step 4: Simplify right side
    16,931.92x = 230,380,182.50
  5. Step 5: Solve for x
    x = 230,380,182.50/16,931.92
  6. Step 6: Final answer
    x = 13,606.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.