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Finding the Fourth Proportional to 23,820.95, 32,874.93 and 13,214

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Solution

The fourth proportional to 23,820.95, 32,874.93 and 13,214 is: 18,236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.95 : 32,874.93 = 13,214 : x
  2. Step 2: Convert to fraction form
    23,820.95/32,874.93 = 13,214/x
  3. Step 3: Cross multiply
    23,820.95x = 32,874.93 × 13,214
  4. Step 4: Simplify right side
    23,820.95x = 434,409,325.02
  5. Step 5: Solve for x
    x = 434,409,325.02/23,820.95
  6. Step 6: Final answer
    x = 18,236.44

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Why These Related Problems?

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