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Finding the Fourth Proportional to 23,521.40, 32,459.90 and 12,912

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Solution

The fourth proportional to 23,521.40, 32,459.90 and 12,912 is: 17,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,521.40 : 32,459.90 = 12,912 : x
  2. Step 2: Convert to fraction form
    23,521.40/32,459.90 = 12,912/x
  3. Step 3: Cross multiply
    23,521.40x = 32,459.90 × 12,912
  4. Step 4: Simplify right side
    23,521.40x = 419,122,228.80
  5. Step 5: Solve for x
    x = 419,122,228.80/23,521.40
  6. Step 6: Final answer
    x = 17,818.76

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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.