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Finding the Fourth Proportional to 13,924.52, 19,216.26 and 7,637.32

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Solution

The fourth proportional to 13,924.52, 19,216.26 and 7,637.32 is: 10,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.52 : 19,216.26 = 7,637.32 : x
  2. Step 2: Convert to fraction form
    13,924.52/19,216.26 = 7,637.32/x
  3. Step 3: Cross multiply
    13,924.52x = 19,216.26 × 7,637.32
  4. Step 4: Simplify right side
    13,924.52x = 146,760,726.82
  5. Step 5: Solve for x
    x = 146,760,726.82/13,924.52
  6. Step 6: Final answer
    x = 10,539.73

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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.