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Finding the Fourth Proportional to 14,403.25, 21,614.01 and 5,637.94

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Solution

The fourth proportional to 14,403.25, 21,614.01 and 5,637.94 is: 8,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,403.25 : 21,614.01 = 5,637.94 : x
  2. Step 2: Convert to fraction form
    14,403.25/21,614.01 = 5,637.94/x
  3. Step 3: Cross multiply
    14,403.25x = 21,614.01 × 5,637.94
  4. Step 4: Simplify right side
    14,403.25x = 121,858,416.36
  5. Step 5: Solve for x
    x = 121,858,416.36/14,403.25
  6. Step 6: Final answer
    x = 8,460.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.