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Finding the Fourth Proportional to 25,977.71, 38,970.65 and 8,443.44

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Solution

The fourth proportional to 25,977.71, 38,970.65 and 8,443.44 is: 12,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,977.71 : 38,970.65 = 8,443.44 : x
  2. Step 2: Convert to fraction form
    25,977.71/38,970.65 = 8,443.44/x
  3. Step 3: Cross multiply
    25,977.71x = 38,970.65 × 8,443.44
  4. Step 4: Simplify right side
    25,977.71x = 329,046,366.14
  5. Step 5: Solve for x
    x = 329,046,366.14/25,977.71
  6. Step 6: Final answer
    x = 12,666.49

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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.