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Finding the Fourth Proportional to 23,846.78, 32,909.42 and 14,409.88

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Solution

The fourth proportional to 23,846.78, 32,909.42 and 14,409.88 is: 19,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.78 : 32,909.42 = 14,409.88 : x
  2. Step 2: Convert to fraction form
    23,846.78/32,909.42 = 14,409.88/x
  3. Step 3: Cross multiply
    23,846.78x = 32,909.42 × 14,409.88
  4. Step 4: Simplify right side
    23,846.78x = 474,220,793.07
  5. Step 5: Solve for x
    x = 474,220,793.07/23,846.78
  6. Step 6: Final answer
    x = 19,886.16

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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.