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Finding the Fourth Proportional to 13,411.36, 18,503.84 and 8,102.32

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Solution

The fourth proportional to 13,411.36, 18,503.84 and 8,102.32 is: 11,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.36 : 18,503.84 = 8,102.32 : x
  2. Step 2: Convert to fraction form
    13,411.36/18,503.84 = 8,102.32/x
  3. Step 3: Cross multiply
    13,411.36x = 18,503.84 × 8,102.32
  4. Step 4: Simplify right side
    13,411.36x = 149,924,032.91
  5. Step 5: Solve for x
    x = 149,924,032.91/13,411.36
  6. Step 6: Final answer
    x = 11,178.88

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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.