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Finding the Fourth Proportional to 23,212.85, 32,034.42 and 12,603.20

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Solution

The fourth proportional to 23,212.85, 32,034.42 and 12,603.20 is: 17,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.85 : 32,034.42 = 12,603.20 : x
  2. Step 2: Convert to fraction form
    23,212.85/32,034.42 = 12,603.20/x
  3. Step 3: Cross multiply
    23,212.85x = 32,034.42 × 12,603.20
  4. Step 4: Simplify right side
    23,212.85x = 403,736,041.97
  5. Step 5: Solve for x
    x = 403,736,041.97/23,212.85
  6. Step 6: Final answer
    x = 17,392.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.