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Finding the Fourth Proportional to 13,432.78, 20,014.16 and 12,678.25

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Solution

The fourth proportional to 13,432.78, 20,014.16 and 12,678.25 is: 18,889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.78 : 20,014.16 = 12,678.25 : x
  2. Step 2: Convert to fraction form
    13,432.78/20,014.16 = 12,678.25/x
  3. Step 3: Cross multiply
    13,432.78x = 20,014.16 × 12,678.25
  4. Step 4: Simplify right side
    13,432.78x = 253,744,524.02
  5. Step 5: Solve for x
    x = 253,744,524.02/13,432.78
  6. Step 6: Final answer
    x = 18,889.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.