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Finding the Fourth Proportional to 25,153.28, 37,735.38 and 7,624.46

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Solution

The fourth proportional to 25,153.28, 37,735.38 and 7,624.46 is: 11,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,153.28 : 37,735.38 = 7,624.46 : x
  2. Step 2: Convert to fraction form
    25,153.28/37,735.38 = 7,624.46/x
  3. Step 3: Cross multiply
    25,153.28x = 37,735.38 × 7,624.46
  4. Step 4: Simplify right side
    25,153.28x = 287,711,895.39
  5. Step 5: Solve for x
    x = 287,711,895.39/25,153.28
  6. Step 6: Final answer
    x = 11,438.35

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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.