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Finding the Fourth Proportional to 12,614.48, 18,833.01 and 9,637.32

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Solution

The fourth proportional to 12,614.48, 18,833.01 and 9,637.32 is: 14,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.48 : 18,833.01 = 9,637.32 : x
  2. Step 2: Convert to fraction form
    12,614.48/18,833.01 = 9,637.32/x
  3. Step 3: Cross multiply
    12,614.48x = 18,833.01 × 9,637.32
  4. Step 4: Simplify right side
    12,614.48x = 181,499,743.93
  5. Step 5: Solve for x
    x = 181,499,743.93/12,614.48
  6. Step 6: Final answer
    x = 14,388.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.