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Finding the Fourth Proportional to 13,342.32, 18,400.16 and 8,027.91

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Solution

The fourth proportional to 13,342.32, 18,400.16 and 8,027.91 is: 11,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342.32 : 18,400.16 = 8,027.91 : x
  2. Step 2: Convert to fraction form
    13,342.32/18,400.16 = 8,027.91/x
  3. Step 3: Cross multiply
    13,342.32x = 18,400.16 × 8,027.91
  4. Step 4: Simplify right side
    13,342.32x = 147,714,848.54
  5. Step 5: Solve for x
    x = 147,714,848.54/13,342.32
  6. Step 6: Final answer
    x = 11,071.15

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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.