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Finding the Fourth Proportional to 21,672.67, 32,518.39 and 7,642.72

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Solution

The fourth proportional to 21,672.67, 32,518.39 and 7,642.72 is: 11,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672.67 : 32,518.39 = 7,642.72 : x
  2. Step 2: Convert to fraction form
    21,672.67/32,518.39 = 7,642.72/x
  3. Step 3: Cross multiply
    21,672.67x = 32,518.39 × 7,642.72
  4. Step 4: Simplify right side
    21,672.67x = 248,528,748.82
  5. Step 5: Solve for x
    x = 248,528,748.82/21,672.67
  6. Step 6: Final answer
    x = 11,467.38

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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.