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Finding the Fourth Proportional to 20,938.32, 31,327.92 and 12,904.32

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Solution

The fourth proportional to 20,938.32, 31,327.92 and 12,904.32 is: 19,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.32 : 31,327.92 = 12,904.32 : x
  2. Step 2: Convert to fraction form
    20,938.32/31,327.92 = 12,904.32/x
  3. Step 3: Cross multiply
    20,938.32x = 31,327.92 × 12,904.32
  4. Step 4: Simplify right side
    20,938.32x = 404,265,504.61
  5. Step 5: Solve for x
    x = 404,265,504.61/20,938.32
  6. Step 6: Final answer
    x = 19,307.45

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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.