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Finding the Fourth Proportional to 25,055.95, 37,584.24 and 7,524.76

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Solution

The fourth proportional to 25,055.95, 37,584.24 and 7,524.76 is: 11,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,055.95 : 37,584.24 = 7,524.76 : x
  2. Step 2: Convert to fraction form
    25,055.95/37,584.24 = 7,524.76/x
  3. Step 3: Cross multiply
    25,055.95x = 37,584.24 × 7,524.76
  4. Step 4: Simplify right side
    25,055.95x = 282,812,385.78
  5. Step 5: Solve for x
    x = 282,812,385.78/25,055.95
  6. Step 6: Final answer
    x = 11,287.23

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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.