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Finding the Fourth Proportional to 21,459.72, 32,189.67 and 7,599

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Solution

The fourth proportional to 21,459.72, 32,189.67 and 7,599 is: 11,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.72 : 32,189.67 = 7,599 : x
  2. Step 2: Convert to fraction form
    21,459.72/32,189.67 = 7,599/x
  3. Step 3: Cross multiply
    21,459.72x = 32,189.67 × 7,599
  4. Step 4: Simplify right side
    21,459.72x = 244,609,302.33
  5. Step 5: Solve for x
    x = 244,609,302.33/21,459.72
  6. Step 6: Final answer
    x = 11,398.53

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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.