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Finding the Fourth Proportional to 14,531, 21,799.74 and 5,297

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Solution

The fourth proportional to 14,531, 21,799.74 and 5,297 is: 7,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531 : 21,799.74 = 5,297 : x
  2. Step 2: Convert to fraction form
    14,531/21,799.74 = 5,297/x
  3. Step 3: Cross multiply
    14,531x = 21,799.74 × 5,297
  4. Step 4: Simplify right side
    14,531x = 115,473,222.78
  5. Step 5: Solve for x
    x = 115,473,222.78/14,531
  6. Step 6: Final answer
    x = 7,946.68

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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.