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Finding the Fourth Proportional to 21,767.92, 32,651.88 and 10,078

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Solution

The fourth proportional to 21,767.92, 32,651.88 and 10,078 is: 15,117

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767.92 : 32,651.88 = 10,078 : x
  2. Step 2: Convert to fraction form
    21,767.92/32,651.88 = 10,078/x
  3. Step 3: Cross multiply
    21,767.92x = 32,651.88 × 10,078
  4. Step 4: Simplify right side
    21,767.92x = 329,065,646.64
  5. Step 5: Solve for x
    x = 329,065,646.64/21,767.92
  6. Step 6: Final answer
    x = 15,117

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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.