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Finding the Fourth Proportional to 25,118.71, 37,682.92 and 7,588.69

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Solution

The fourth proportional to 25,118.71, 37,682.92 and 7,588.69 is: 11,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,118.71 : 37,682.92 = 7,588.69 : x
  2. Step 2: Convert to fraction form
    25,118.71/37,682.92 = 7,588.69/x
  3. Step 3: Cross multiply
    25,118.71x = 37,682.92 × 7,588.69
  4. Step 4: Simplify right side
    25,118.71x = 285,963,913.45
  5. Step 5: Solve for x
    x = 285,963,913.45/25,118.71
  6. Step 6: Final answer
    x = 11,384.50

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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.