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Finding the Fourth Proportional to 20,886.80, 31,337.40 and 9,208.40

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Solution

The fourth proportional to 20,886.80, 31,337.40 and 9,208.40 is: 13,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.80 : 31,337.40 = 9,208.40 : x
  2. Step 2: Convert to fraction form
    20,886.80/31,337.40 = 9,208.40/x
  3. Step 3: Cross multiply
    20,886.80x = 31,337.40 × 9,208.40
  4. Step 4: Simplify right side
    20,886.80x = 288,567,314.16
  5. Step 5: Solve for x
    x = 288,567,314.16/20,886.80
  6. Step 6: Final answer
    x = 13,815.77

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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.