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Finding the Fourth Proportional to 20,825.80, 31,246.80 and 9,130.78

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Solution

The fourth proportional to 20,825.80, 31,246.80 and 9,130.78 is: 13,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.80 : 31,246.80 = 9,130.78 : x
  2. Step 2: Convert to fraction form
    20,825.80/31,246.80 = 9,130.78/x
  3. Step 3: Cross multiply
    20,825.80x = 31,246.80 × 9,130.78
  4. Step 4: Simplify right side
    20,825.80x = 285,307,656.50
  5. Step 5: Solve for x
    x = 285,307,656.50/20,825.80
  6. Step 6: Final answer
    x = 13,699.72

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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.