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Finding the Fourth Proportional to 19,185.40, 28,799.70 and 14,822.20

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Solution

The fourth proportional to 19,185.40, 28,799.70 and 14,822.20 is: 22,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,185.40 : 28,799.70 = 14,822.20 : x
  2. Step 2: Convert to fraction form
    19,185.40/28,799.70 = 14,822.20/x
  3. Step 3: Cross multiply
    19,185.40x = 28,799.70 × 14,822.20
  4. Step 4: Simplify right side
    19,185.40x = 426,874,913.34
  5. Step 5: Solve for x
    x = 426,874,913.34/19,185.40
  6. Step 6: Final answer
    x = 22,249.99

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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.