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Finding the Fourth Proportional to 23,534.77, 32,478.20 and 12,924.63

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Solution

The fourth proportional to 23,534.77, 32,478.20 and 12,924.63 is: 17,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534.77 : 32,478.20 = 12,924.63 : x
  2. Step 2: Convert to fraction form
    23,534.77/32,478.20 = 12,924.63/x
  3. Step 3: Cross multiply
    23,534.77x = 32,478.20 × 12,924.63
  4. Step 4: Simplify right side
    23,534.77x = 419,768,750.38
  5. Step 5: Solve for x
    x = 419,768,750.38/23,534.77
  6. Step 6: Final answer
    x = 17,836.11

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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.