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Finding the Fourth Proportional to 25,265.69, 37,898.49 and 8,624.34

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Solution

The fourth proportional to 25,265.69, 37,898.49 and 8,624.34 is: 12,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,265.69 : 37,898.49 = 8,624.34 : x
  2. Step 2: Convert to fraction form
    25,265.69/37,898.49 = 8,624.34/x
  3. Step 3: Cross multiply
    25,265.69x = 37,898.49 × 8,624.34
  4. Step 4: Simplify right side
    25,265.69x = 326,849,495.59
  5. Step 5: Solve for x
    x = 326,849,495.59/25,265.69
  6. Step 6: Final answer
    x = 12,936.50

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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.