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Finding the Fourth Proportional to 22,297.98, 30,775.14 and 16,938.16

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Solution

The fourth proportional to 22,297.98, 30,775.14 and 16,938.16 is: 23,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.98 : 30,775.14 = 16,938.16 : x
  2. Step 2: Convert to fraction form
    22,297.98/30,775.14 = 16,938.16/x
  3. Step 3: Cross multiply
    22,297.98x = 30,775.14 × 16,938.16
  4. Step 4: Simplify right side
    22,297.98x = 521,274,341.51
  5. Step 5: Solve for x
    x = 521,274,341.51/22,297.98
  6. Step 6: Final answer
    x = 23,377.64

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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.