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Finding the Fourth Proportional to 21,966.32, 32,949.88 and 7,927.40

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Solution

The fourth proportional to 21,966.32, 32,949.88 and 7,927.40 is: 11,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,966.32 : 32,949.88 = 7,927.40 : x
  2. Step 2: Convert to fraction form
    21,966.32/32,949.88 = 7,927.40/x
  3. Step 3: Cross multiply
    21,966.32x = 32,949.88 × 7,927.40
  4. Step 4: Simplify right side
    21,966.32x = 261,206,878.71
  5. Step 5: Solve for x
    x = 261,206,878.71/21,966.32
  6. Step 6: Final answer
    x = 11,891.24

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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.