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Finding the Fourth Proportional to 22,097.84, 30,494.48 and 12,407.04

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Solution

The fourth proportional to 22,097.84, 30,494.48 and 12,407.04 is: 17,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.84 : 30,494.48 = 12,407.04 : x
  2. Step 2: Convert to fraction form
    22,097.84/30,494.48 = 12,407.04/x
  3. Step 3: Cross multiply
    22,097.84x = 30,494.48 × 12,407.04
  4. Step 4: Simplify right side
    22,097.84x = 378,346,171.10
  5. Step 5: Solve for x
    x = 378,346,171.10/22,097.84
  6. Step 6: Final answer
    x = 17,121.41

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1.5x scale

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.