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Finding the Fourth Proportional to 21,965.69, 32,948.24 and 5,325.86

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Solution

The fourth proportional to 21,965.69, 32,948.24 and 5,325.86 is: 7,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.69 : 32,948.24 = 5,325.86 : x
  2. Step 2: Convert to fraction form
    21,965.69/32,948.24 = 5,325.86/x
  3. Step 3: Cross multiply
    21,965.69x = 32,948.24 × 5,325.86
  4. Step 4: Simplify right side
    21,965.69x = 175,477,522.12
  5. Step 5: Solve for x
    x = 175,477,522.12/21,965.69
  6. Step 6: Final answer
    x = 7,988.71

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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.