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Finding the Fourth Proportional to 13,864.37, 19,133.53 and 8,202.44

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Solution

The fourth proportional to 13,864.37, 19,133.53 and 8,202.44 is: 11,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.37 : 19,133.53 = 8,202.44 : x
  2. Step 2: Convert to fraction form
    13,864.37/19,133.53 = 8,202.44/x
  3. Step 3: Cross multiply
    13,864.37x = 19,133.53 × 8,202.44
  4. Step 4: Simplify right side
    13,864.37x = 156,941,495.13
  5. Step 5: Solve for x
    x = 156,941,495.13/13,864.37
  6. Step 6: Final answer
    x = 11,319.77

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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.