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Finding the Fourth Proportional to 23,856.88, 32,923.08 and 13,246

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Solution

The fourth proportional to 23,856.88, 32,923.08 and 13,246 is: 18,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.88 : 32,923.08 = 13,246 : x
  2. Step 2: Convert to fraction form
    23,856.88/32,923.08 = 13,246/x
  3. Step 3: Cross multiply
    23,856.88x = 32,923.08 × 13,246
  4. Step 4: Simplify right side
    23,856.88x = 436,099,117.68
  5. Step 5: Solve for x
    x = 436,099,117.68/23,856.88
  6. Step 6: Final answer
    x = 18,279.81

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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.