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Finding the Fourth Proportional to 25,184.40, 37,751.95 and 9,377.83

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Solution

The fourth proportional to 25,184.40, 37,751.95 and 9,377.83 is: 14,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184.40 : 37,751.95 = 9,377.83 : x
  2. Step 2: Convert to fraction form
    25,184.40/37,751.95 = 9,377.83/x
  3. Step 3: Cross multiply
    25,184.40x = 37,751.95 × 9,377.83
  4. Step 4: Simplify right side
    25,184.40x = 354,031,369.27
  5. Step 5: Solve for x
    x = 354,031,369.27/25,184.40
  6. Step 6: Final answer
    x = 14,057.57

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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.