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Finding the Fourth Proportional to 22,444.34, 33,642.59 and 7,648.07

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Solution

The fourth proportional to 22,444.34, 33,642.59 and 7,648.07 is: 11,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,444.34 : 33,642.59 = 7,648.07 : x
  2. Step 2: Convert to fraction form
    22,444.34/33,642.59 = 7,648.07/x
  3. Step 3: Cross multiply
    22,444.34x = 33,642.59 × 7,648.07
  4. Step 4: Simplify right side
    22,444.34x = 257,300,676.85
  5. Step 5: Solve for x
    x = 257,300,676.85/22,444.34
  6. Step 6: Final answer
    x = 11,463.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.