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Finding the Fourth Proportional to 20,920.48, 31,377.93 and 7,771.06

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Solution

The fourth proportional to 20,920.48, 31,377.93 and 7,771.06 is: 11,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.48 : 31,377.93 = 7,771.06 : x
  2. Step 2: Convert to fraction form
    20,920.48/31,377.93 = 7,771.06/x
  3. Step 3: Cross multiply
    20,920.48x = 31,377.93 × 7,771.06
  4. Step 4: Simplify right side
    20,920.48x = 243,839,776.71
  5. Step 5: Solve for x
    x = 243,839,776.71/20,920.48
  6. Step 6: Final answer
    x = 11,655.55

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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.