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Finding the Fourth Proportional to 21,442.42, 32,171.19 and 6,655.06

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Solution

The fourth proportional to 21,442.42, 32,171.19 and 6,655.06 is: 9,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.42 : 32,171.19 = 6,655.06 : x
  2. Step 2: Convert to fraction form
    21,442.42/32,171.19 = 6,655.06/x
  3. Step 3: Cross multiply
    21,442.42x = 32,171.19 × 6,655.06
  4. Step 4: Simplify right side
    21,442.42x = 214,101,199.72
  5. Step 5: Solve for x
    x = 214,101,199.72/21,442.42
  6. Step 6: Final answer
    x = 9,984.94

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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.