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Finding the Fourth Proportional to 16,856.64, 23,250.54 and 10,139.82

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Solution

The fourth proportional to 16,856.64, 23,250.54 and 10,139.82 is: 13,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.64 : 23,250.54 = 10,139.82 : x
  2. Step 2: Convert to fraction form
    16,856.64/23,250.54 = 10,139.82/x
  3. Step 3: Cross multiply
    16,856.64x = 23,250.54 × 10,139.82
  4. Step 4: Simplify right side
    16,856.64x = 235,756,339.43
  5. Step 5: Solve for x
    x = 235,756,339.43/16,856.64
  6. Step 6: Final answer
    x = 13,985.96

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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.