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Finding the Fourth Proportional to 25,117.19, 37,676 and 8,249.95

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Solution

The fourth proportional to 25,117.19, 37,676 and 8,249.95 is: 12,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,117.19 : 37,676 = 8,249.95 : x
  2. Step 2: Convert to fraction form
    25,117.19/37,676 = 8,249.95/x
  3. Step 3: Cross multiply
    25,117.19x = 37,676 × 8,249.95
  4. Step 4: Simplify right side
    25,117.19x = 310,824,927.82
  5. Step 5: Solve for x
    x = 310,824,927.82/25,117.19
  6. Step 6: Final answer
    x = 12,374.99

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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.