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Finding the Fourth Proportional to 13,932.32, 19,223.86 and 8,266.01

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Solution

The fourth proportional to 13,932.32, 19,223.86 and 8,266.01 is: 11,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932.32 : 19,223.86 = 8,266.01 : x
  2. Step 2: Convert to fraction form
    13,932.32/19,223.86 = 8,266.01/x
  3. Step 3: Cross multiply
    13,932.32x = 19,223.86 × 8,266.01
  4. Step 4: Simplify right side
    13,932.32x = 158,904,619.00
  5. Step 5: Solve for x
    x = 158,904,619.00/13,932.32
  6. Step 6: Final answer
    x = 11,405.47

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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.