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Finding the Fourth Proportional to 16,856.64, 23,263.20 and 9,404.64

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Solution

The fourth proportional to 16,856.64, 23,263.20 and 9,404.64 is: 12,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,856.64 : 23,263.20 = 9,404.64 : x
  2. Step 2: Convert to fraction form
    16,856.64/23,263.20 = 9,404.64/x
  3. Step 3: Cross multiply
    16,856.64x = 23,263.20 × 9,404.64
  4. Step 4: Simplify right side
    16,856.64x = 218,782,021.25
  5. Step 5: Solve for x
    x = 218,782,021.25/16,856.64
  6. Step 6: Final answer
    x = 12,978.98

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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.