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Finding the Fourth Proportional to 22,274.24, 33,408 and 7,482.56

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Solution

The fourth proportional to 22,274.24, 33,408 and 7,482.56 is: 11,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.24 : 33,408 = 7,482.56 : x
  2. Step 2: Convert to fraction form
    22,274.24/33,408 = 7,482.56/x
  3. Step 3: Cross multiply
    22,274.24x = 33,408 × 7,482.56
  4. Step 4: Simplify right side
    22,274.24x = 249,977,364.48
  5. Step 5: Solve for x
    x = 249,977,364.48/22,274.24
  6. Step 6: Final answer
    x = 11,222.71

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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.