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Finding the Fourth Proportional to 22,284.36, 33,404.01 and 13,970.20

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Solution

The fourth proportional to 22,284.36, 33,404.01 and 13,970.20 is: 20,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.36 : 33,404.01 = 13,970.20 : x
  2. Step 2: Convert to fraction form
    22,284.36/33,404.01 = 13,970.20/x
  3. Step 3: Cross multiply
    22,284.36x = 33,404.01 × 13,970.20
  4. Step 4: Simplify right side
    22,284.36x = 466,660,700.50
  5. Step 5: Solve for x
    x = 466,660,700.50/22,284.36
  6. Step 6: Final answer
    x = 20,941.18

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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.