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Finding the Fourth Proportional to 14,074.83, 19,412.42 and 9,824.49

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Solution

The fourth proportional to 14,074.83, 19,412.42 and 9,824.49 is: 13,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.83 : 19,412.42 = 9,824.49 : x
  2. Step 2: Convert to fraction form
    14,074.83/19,412.42 = 9,824.49/x
  3. Step 3: Cross multiply
    14,074.83x = 19,412.42 × 9,824.49
  4. Step 4: Simplify right side
    14,074.83x = 190,717,077.04
  5. Step 5: Solve for x
    x = 190,717,077.04/14,074.83
  6. Step 6: Final answer
    x = 13,550.22

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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.