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Finding the Fourth Proportional to 22,358.34, 33,544.21 and 9,024.47

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Solution

The fourth proportional to 22,358.34, 33,544.21 and 9,024.47 is: 13,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.34 : 33,544.21 = 9,024.47 : x
  2. Step 2: Convert to fraction form
    22,358.34/33,544.21 = 9,024.47/x
  3. Step 3: Cross multiply
    22,358.34x = 33,544.21 × 9,024.47
  4. Step 4: Simplify right side
    22,358.34x = 302,718,716.82
  5. Step 5: Solve for x
    x = 302,718,716.82/22,358.34
  6. Step 6: Final answer
    x = 13,539.41

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1.5x scale

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.