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Finding the Fourth Proportional to 20,969.84, 31,465.69 and 8,499.08

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Solution

The fourth proportional to 20,969.84, 31,465.69 and 8,499.08 is: 12,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.84 : 31,465.69 = 8,499.08 : x
  2. Step 2: Convert to fraction form
    20,969.84/31,465.69 = 8,499.08/x
  3. Step 3: Cross multiply
    20,969.84x = 31,465.69 × 8,499.08
  4. Step 4: Simplify right side
    20,969.84x = 267,429,320.89
  5. Step 5: Solve for x
    x = 267,429,320.89/20,969.84
  6. Step 6: Final answer
    x = 12,753.05

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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.