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Finding the Fourth Proportional to 21,368.46, 31,990.40 and 12,456.52

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Solution

The fourth proportional to 21,368.46, 31,990.40 and 12,456.52 is: 18,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,368.46 : 31,990.40 = 12,456.52 : x
  2. Step 2: Convert to fraction form
    21,368.46/31,990.40 = 12,456.52/x
  3. Step 3: Cross multiply
    21,368.46x = 31,990.40 × 12,456.52
  4. Step 4: Simplify right side
    21,368.46x = 398,489,057.41
  5. Step 5: Solve for x
    x = 398,489,057.41/21,368.46
  6. Step 6: Final answer
    x = 18,648.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.