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Finding the Fourth Proportional to 21,734.08, 32,603.28 and 7,884.16

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Solution

The fourth proportional to 21,734.08, 32,603.28 and 7,884.16 is: 11,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,734.08 : 32,603.28 = 7,884.16 : x
  2. Step 2: Convert to fraction form
    21,734.08/32,603.28 = 7,884.16/x
  3. Step 3: Cross multiply
    21,734.08x = 32,603.28 × 7,884.16
  4. Step 4: Simplify right side
    21,734.08x = 257,049,476.04
  5. Step 5: Solve for x
    x = 257,049,476.04/21,734.08
  6. Step 6: Final answer
    x = 11,827.02

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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.