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Finding the Fourth Proportional to 22,269.29, 33,407 and 7,482.43

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Solution

The fourth proportional to 22,269.29, 33,407 and 7,482.43 is: 11,224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,269.29 : 33,407 = 7,482.43 : x
  2. Step 2: Convert to fraction form
    22,269.29/33,407 = 7,482.43/x
  3. Step 3: Cross multiply
    22,269.29x = 33,407 × 7,482.43
  4. Step 4: Simplify right side
    22,269.29x = 249,965,539.01
  5. Step 5: Solve for x
    x = 249,965,539.01/22,269.29
  6. Step 6: Final answer
    x = 11,224.67

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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.