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Finding the Fourth Proportional to 23,630.34, 32,608.95 and 12,875.31

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Solution

The fourth proportional to 23,630.34, 32,608.95 and 12,875.31 is: 17,767.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,630.34 : 32,608.95 = 12,875.31 : x
  2. Step 2: Convert to fraction form
    23,630.34/32,608.95 = 12,875.31/x
  3. Step 3: Cross multiply
    23,630.34x = 32,608.95 × 12,875.31
  4. Step 4: Simplify right side
    23,630.34x = 419,850,291.74
  5. Step 5: Solve for x
    x = 419,850,291.74/23,630.34
  6. Step 6: Final answer
    x = 17,767.42

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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.