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Finding the Fourth Proportional to 22,251.64, 33,374.22 and 7,460.50

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Solution

The fourth proportional to 22,251.64, 33,374.22 and 7,460.50 is: 11,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,251.64 : 33,374.22 = 7,460.50 : x
  2. Step 2: Convert to fraction form
    22,251.64/33,374.22 = 7,460.50/x
  3. Step 3: Cross multiply
    22,251.64x = 33,374.22 × 7,460.50
  4. Step 4: Simplify right side
    22,251.64x = 248,988,368.31
  5. Step 5: Solve for x
    x = 248,988,368.31/22,251.64
  6. Step 6: Final answer
    x = 11,189.66

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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.