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Finding the Fourth Proportional to 23,212.56, 32,034 and 12,602.88

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Solution

The fourth proportional to 23,212.56, 32,034 and 12,602.88 is: 17,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.56 : 32,034 = 12,602.88 : x
  2. Step 2: Convert to fraction form
    23,212.56/32,034 = 12,602.88/x
  3. Step 3: Cross multiply
    23,212.56x = 32,034 × 12,602.88
  4. Step 4: Simplify right side
    23,212.56x = 403,720,657.92
  5. Step 5: Solve for x
    x = 403,720,657.92/23,212.56
  6. Step 6: Final answer
    x = 17,392.34

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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.