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Finding the Fourth Proportional to 16,531, 24,800.10 and 7,297

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Solution

The fourth proportional to 16,531, 24,800.10 and 7,297 is: 10,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531 : 24,800.10 = 7,297 : x
  2. Step 2: Convert to fraction form
    16,531/24,800.10 = 7,297/x
  3. Step 3: Cross multiply
    16,531x = 24,800.10 × 7,297
  4. Step 4: Simplify right side
    16,531x = 180,966,329.70
  5. Step 5: Solve for x
    x = 180,966,329.70/16,531
  6. Step 6: Final answer
    x = 10,947.09

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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.