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Finding the Fourth Proportional to 25,053.68, 37,584.18 and 7,524.90

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Solution

The fourth proportional to 25,053.68, 37,584.18 and 7,524.90 is: 11,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,053.68 : 37,584.18 = 7,524.90 : x
  2. Step 2: Convert to fraction form
    25,053.68/37,584.18 = 7,524.90/x
  3. Step 3: Cross multiply
    25,053.68x = 37,584.18 × 7,524.90
  4. Step 4: Simplify right side
    25,053.68x = 282,817,196.08
  5. Step 5: Solve for x
    x = 282,817,196.08/25,053.68
  6. Step 6: Final answer
    x = 11,288.45

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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.