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Finding the Fourth Proportional to 24,306.40, 36,460.41 and 6,774.76

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Solution

The fourth proportional to 24,306.40, 36,460.41 and 6,774.76 is: 10,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306.40 : 36,460.41 = 6,774.76 : x
  2. Step 2: Convert to fraction form
    24,306.40/36,460.41 = 6,774.76/x
  3. Step 3: Cross multiply
    24,306.40x = 36,460.41 × 6,774.76
  4. Step 4: Simplify right side
    24,306.40x = 247,010,527.25
  5. Step 5: Solve for x
    x = 247,010,527.25/24,306.40
  6. Step 6: Final answer
    x = 10,162.37

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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.