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Finding the Fourth Proportional to 19,420, 26,799.60 and 10,588

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Solution

The fourth proportional to 19,420, 26,799.60 and 10,588 is: 14,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,420 : 26,799.60 = 10,588 : x
  2. Step 2: Convert to fraction form
    19,420/26,799.60 = 10,588/x
  3. Step 3: Cross multiply
    19,420x = 26,799.60 × 10,588
  4. Step 4: Simplify right side
    19,420x = 283,754,164.80
  5. Step 5: Solve for x
    x = 283,754,164.80/19,420
  6. Step 6: Final answer
    x = 14,611.44

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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.