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Finding the Fourth Proportional to 23,193.52, 32,007.12 and 12,583.20

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Solution

The fourth proportional to 23,193.52, 32,007.12 and 12,583.20 is: 17,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.52 : 32,007.12 = 12,583.20 : x
  2. Step 2: Convert to fraction form
    23,193.52/32,007.12 = 12,583.20/x
  3. Step 3: Cross multiply
    23,193.52x = 32,007.12 × 12,583.20
  4. Step 4: Simplify right side
    23,193.52x = 402,751,992.38
  5. Step 5: Solve for x
    x = 402,751,992.38/23,193.52
  6. Step 6: Final answer
    x = 17,364.85

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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.