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Finding the Fourth Proportional to 17,799, 24,564.78 and 10,347

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Solution

The fourth proportional to 17,799, 24,564.78 and 10,347 is: 14,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,799 : 24,564.78 = 10,347 : x
  2. Step 2: Convert to fraction form
    17,799/24,564.78 = 10,347/x
  3. Step 3: Cross multiply
    17,799x = 24,564.78 × 10,347
  4. Step 4: Simplify right side
    17,799x = 254,171,778.66
  5. Step 5: Solve for x
    x = 254,171,778.66/17,799
  6. Step 6: Final answer
    x = 14,280.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.