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Finding the Fourth Proportional to 14,412.39, 21,619.44 and 4,024.14

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Solution

The fourth proportional to 14,412.39, 21,619.44 and 4,024.14 is: 6,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.39 : 21,619.44 = 4,024.14 : x
  2. Step 2: Convert to fraction form
    14,412.39/21,619.44 = 4,024.14/x
  3. Step 3: Cross multiply
    14,412.39x = 21,619.44 × 4,024.14
  4. Step 4: Simplify right side
    14,412.39x = 86,999,653.28
  5. Step 5: Solve for x
    x = 86,999,653.28/14,412.39
  6. Step 6: Final answer
    x = 6,036.45

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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.