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Finding the Fourth Proportional to 25,250.94, 37,876.41 and 9,668.57

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Solution

The fourth proportional to 25,250.94, 37,876.41 and 9,668.57 is: 14,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,250.94 : 37,876.41 = 9,668.57 : x
  2. Step 2: Convert to fraction form
    25,250.94/37,876.41 = 9,668.57/x
  3. Step 3: Cross multiply
    25,250.94x = 37,876.41 × 9,668.57
  4. Step 4: Simplify right side
    25,250.94x = 366,210,483.71
  5. Step 5: Solve for x
    x = 366,210,483.71/25,250.94
  6. Step 6: Final answer
    x = 14,502.85

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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.