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Finding the Fourth Proportional to 15,512, 21,399.36 and 9,844.16

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Solution

The fourth proportional to 15,512, 21,399.36 and 9,844.16 is: 13,580.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512 : 21,399.36 = 9,844.16 : x
  2. Step 2: Convert to fraction form
    15,512/21,399.36 = 9,844.16/x
  3. Step 3: Cross multiply
    15,512x = 21,399.36 × 9,844.16
  4. Step 4: Simplify right side
    15,512x = 210,658,723.74
  5. Step 5: Solve for x
    x = 210,658,723.74/15,512
  6. Step 6: Final answer
    x = 13,580.37

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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.