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Finding the Fourth Proportional to 21,806.16, 32,690.16 and 7,764

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Solution

The fourth proportional to 21,806.16, 32,690.16 and 7,764 is: 11,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.16 : 32,690.16 = 7,764 : x
  2. Step 2: Convert to fraction form
    21,806.16/32,690.16 = 7,764/x
  3. Step 3: Cross multiply
    21,806.16x = 32,690.16 × 7,764
  4. Step 4: Simplify right side
    21,806.16x = 253,806,402.24
  5. Step 5: Solve for x
    x = 253,806,402.24/21,806.16
  6. Step 6: Final answer
    x = 11,639.21

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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.