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Finding the Fourth Proportional to 23,309.47, 32,166.21 and 12,698.88

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Solution

The fourth proportional to 23,309.47, 32,166.21 and 12,698.88 is: 17,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.47 : 32,166.21 = 12,698.88 : x
  2. Step 2: Convert to fraction form
    23,309.47/32,166.21 = 12,698.88/x
  3. Step 3: Cross multiply
    23,309.47x = 32,166.21 × 12,698.88
  4. Step 4: Simplify right side
    23,309.47x = 408,474,767.84
  5. Step 5: Solve for x
    x = 408,474,767.84/23,309.47
  6. Step 6: Final answer
    x = 17,523.98

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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.