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Finding the Fourth Proportional to 20,776.88, 31,165.02 and 9,677.36

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Solution

The fourth proportional to 20,776.88, 31,165.02 and 9,677.36 is: 14,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.88 : 31,165.02 = 9,677.36 : x
  2. Step 2: Convert to fraction form
    20,776.88/31,165.02 = 9,677.36/x
  3. Step 3: Cross multiply
    20,776.88x = 31,165.02 × 9,677.36
  4. Step 4: Simplify right side
    20,776.88x = 301,595,117.95
  5. Step 5: Solve for x
    x = 301,595,117.95/20,776.88
  6. Step 6: Final answer
    x = 14,515.90

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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.