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Finding the Fourth Proportional to 23,074.34, 34,616.38 and 7,490.76

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Solution

The fourth proportional to 23,074.34, 34,616.38 and 7,490.76 is: 11,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.34 : 34,616.38 = 7,490.76 : x
  2. Step 2: Convert to fraction form
    23,074.34/34,616.38 = 7,490.76/x
  3. Step 3: Cross multiply
    23,074.34x = 34,616.38 × 7,490.76
  4. Step 4: Simplify right side
    23,074.34x = 259,302,994.65
  5. Step 5: Solve for x
    x = 259,302,994.65/23,074.34
  6. Step 6: Final answer
    x = 11,237.72

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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.