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Finding the Fourth Proportional to 23,704.32, 32,712.32 and 13,094.88

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Solution

The fourth proportional to 23,704.32, 32,712.32 and 13,094.88 is: 18,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.32 : 32,712.32 = 13,094.88 : x
  2. Step 2: Convert to fraction form
    23,704.32/32,712.32 = 13,094.88/x
  3. Step 3: Cross multiply
    23,704.32x = 32,712.32 × 13,094.88
  4. Step 4: Simplify right side
    23,704.32x = 428,363,904.92
  5. Step 5: Solve for x
    x = 428,363,904.92/23,704.32
  6. Step 6: Final answer
    x = 18,071.13

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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.