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Finding the Fourth Proportional to 23,753.54, 32,780.86 and 13,143

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Solution

The fourth proportional to 23,753.54, 32,780.86 and 13,143 is: 18,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.54 : 32,780.86 = 13,143 : x
  2. Step 2: Convert to fraction form
    23,753.54/32,780.86 = 13,143/x
  3. Step 3: Cross multiply
    23,753.54x = 32,780.86 × 13,143
  4. Step 4: Simplify right side
    23,753.54x = 430,838,842.98
  5. Step 5: Solve for x
    x = 430,838,842.98/23,753.54
  6. Step 6: Final answer
    x = 18,137.88

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1.5x scale

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.