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Finding the Fourth Proportional to 25,348, 38,037.36 and 10,756

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Solution

The fourth proportional to 25,348, 38,037.36 and 10,756 is: 16,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,348 : 38,037.36 = 10,756 : x
  2. Step 2: Convert to fraction form
    25,348/38,037.36 = 10,756/x
  3. Step 3: Cross multiply
    25,348x = 38,037.36 × 10,756
  4. Step 4: Simplify right side
    25,348x = 409,129,844.16
  5. Step 5: Solve for x
    x = 409,129,844.16/25,348
  6. Step 6: Final answer
    x = 16,140.52

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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.