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Finding the Fourth Proportional to 15,980.16, 22,052.84 and 9,266.24

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Solution

The fourth proportional to 15,980.16, 22,052.84 and 9,266.24 is: 12,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.16 : 22,052.84 = 9,266.24 : x
  2. Step 2: Convert to fraction form
    15,980.16/22,052.84 = 9,266.24/x
  3. Step 3: Cross multiply
    15,980.16x = 22,052.84 × 9,266.24
  4. Step 4: Simplify right side
    15,980.16x = 204,346,908.12
  5. Step 5: Solve for x
    x = 204,346,908.12/15,980.16
  6. Step 6: Final answer
    x = 12,787.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.