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Finding the Fourth Proportional to 21,925.32, 32,884.14 and 7,132.08

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Solution

The fourth proportional to 21,925.32, 32,884.14 and 7,132.08 is: 10,696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,925.32 : 32,884.14 = 7,132.08 : x
  2. Step 2: Convert to fraction form
    21,925.32/32,884.14 = 7,132.08/x
  3. Step 3: Cross multiply
    21,925.32x = 32,884.14 × 7,132.08
  4. Step 4: Simplify right side
    21,925.32x = 234,532,317.21
  5. Step 5: Solve for x
    x = 234,532,317.21/21,925.32
  6. Step 6: Final answer
    x = 10,696.87

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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.