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Finding the Fourth Proportional to 23,545.54, 35,314.38 and 7,750.74

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Solution

The fourth proportional to 23,545.54, 35,314.38 and 7,750.74 is: 11,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,545.54 : 35,314.38 = 7,750.74 : x
  2. Step 2: Convert to fraction form
    23,545.54/35,314.38 = 7,750.74/x
  3. Step 3: Cross multiply
    23,545.54x = 35,314.38 × 7,750.74
  4. Step 4: Simplify right side
    23,545.54x = 273,712,739.14
  5. Step 5: Solve for x
    x = 273,712,739.14/23,545.54
  6. Step 6: Final answer
    x = 11,624.82

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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.