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Finding the Fourth Proportional to 31,017.60, 42,796.80 and 20,966.40

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Solution

The fourth proportional to 31,017.60, 42,796.80 and 20,966.40 is: 28,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,017.60 : 42,796.80 = 20,966.40 : x
  2. Step 2: Convert to fraction form
    31,017.60/42,796.80 = 20,966.40/x
  3. Step 3: Cross multiply
    31,017.60x = 42,796.80 × 20,966.40
  4. Step 4: Simplify right side
    31,017.60x = 897,294,827.52
  5. Step 5: Solve for x
    x = 897,294,827.52/31,017.60
  6. Step 6: Final answer
    x = 28,928.57

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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.