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Finding the Fourth Proportional to 23,414, 32,311.46 and 15,030.50

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Solution

The fourth proportional to 23,414, 32,311.46 and 15,030.50 is: 20,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414 : 32,311.46 = 15,030.50 : x
  2. Step 2: Convert to fraction form
    23,414/32,311.46 = 15,030.50/x
  3. Step 3: Cross multiply
    23,414x = 32,311.46 × 15,030.50
  4. Step 4: Simplify right side
    23,414x = 485,657,324.38
  5. Step 5: Solve for x
    x = 485,657,324.38/23,414
  6. Step 6: Final answer
    x = 20,742.18

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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.