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Finding the Fourth Proportional to 16,876.54, 25,307.52 and 6,481

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Solution

The fourth proportional to 16,876.54, 25,307.52 and 6,481 is: 9,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.54 : 25,307.52 = 6,481 : x
  2. Step 2: Convert to fraction form
    16,876.54/25,307.52 = 6,481/x
  3. Step 3: Cross multiply
    16,876.54x = 25,307.52 × 6,481
  4. Step 4: Simplify right side
    16,876.54x = 164,018,037.12
  5. Step 5: Solve for x
    x = 164,018,037.12/16,876.54
  6. Step 6: Final answer
    x = 9,718.70

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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.