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Finding the Fourth Proportional to 25,217.70, 37,832.16 and 7,688.89

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Solution

The fourth proportional to 25,217.70, 37,832.16 and 7,688.89 is: 11,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,217.70 : 37,832.16 = 7,688.89 : x
  2. Step 2: Convert to fraction form
    25,217.70/37,832.16 = 7,688.89/x
  3. Step 3: Cross multiply
    25,217.70x = 37,832.16 × 7,688.89
  4. Step 4: Simplify right side
    25,217.70x = 290,887,316.70
  5. Step 5: Solve for x
    x = 290,887,316.70/25,217.70
  6. Step 6: Final answer
    x = 11,535.05

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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.