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Finding the Fourth Proportional to 25,081.88, 37,624.64 and 9,499.50

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Solution

The fourth proportional to 25,081.88, 37,624.64 and 9,499.50 is: 14,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,081.88 : 37,624.64 = 9,499.50 : x
  2. Step 2: Convert to fraction form
    25,081.88/37,624.64 = 9,499.50/x
  3. Step 3: Cross multiply
    25,081.88x = 37,624.64 × 9,499.50
  4. Step 4: Simplify right side
    25,081.88x = 357,415,220.18
  5. Step 5: Solve for x
    x = 357,415,220.18/25,081.88
  6. Step 6: Final answer
    x = 14,249.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.