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Finding the Fourth Proportional to 15,775.75, 23,664.84 and 5,387.50

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Solution

The fourth proportional to 15,775.75, 23,664.84 and 5,387.50 is: 8,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.75 : 23,664.84 = 5,387.50 : x
  2. Step 2: Convert to fraction form
    15,775.75/23,664.84 = 5,387.50/x
  3. Step 3: Cross multiply
    15,775.75x = 23,664.84 × 5,387.50
  4. Step 4: Simplify right side
    15,775.75x = 127,494,325.50
  5. Step 5: Solve for x
    x = 127,494,325.50/15,775.75
  6. Step 6: Final answer
    x = 8,081.66

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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.