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Finding the Fourth Proportional to 25,221.61, 37,834.98 and 8,582.81

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Solution

The fourth proportional to 25,221.61, 37,834.98 and 8,582.81 is: 12,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,221.61 : 37,834.98 = 8,582.81 : x
  2. Step 2: Convert to fraction form
    25,221.61/37,834.98 = 8,582.81/x
  3. Step 3: Cross multiply
    25,221.61x = 37,834.98 × 8,582.81
  4. Step 4: Simplify right side
    25,221.61x = 324,730,439.17
  5. Step 5: Solve for x
    x = 324,730,439.17/25,221.61
  6. Step 6: Final answer
    x = 12,875.09

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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.