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Finding the Fourth Proportional to 13,519.36, 18,656.16 and 7,551

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Solution

The fourth proportional to 13,519.36, 18,656.16 and 7,551 is: 10,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.36 : 18,656.16 = 7,551 : x
  2. Step 2: Convert to fraction form
    13,519.36/18,656.16 = 7,551/x
  3. Step 3: Cross multiply
    13,519.36x = 18,656.16 × 7,551
  4. Step 4: Simplify right side
    13,519.36x = 140,872,664.16
  5. Step 5: Solve for x
    x = 140,872,664.16/13,519.36
  6. Step 6: Final answer
    x = 10,420.07

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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.