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Finding the Fourth Proportional to 24,065.52, 33,214.72 and 14,507.12

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Solution

The fourth proportional to 24,065.52, 33,214.72 and 14,507.12 is: 20,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.52 : 33,214.72 = 14,507.12 : x
  2. Step 2: Convert to fraction form
    24,065.52/33,214.72 = 14,507.12/x
  3. Step 3: Cross multiply
    24,065.52x = 33,214.72 × 14,507.12
  4. Step 4: Simplify right side
    24,065.52x = 481,849,928.81
  5. Step 5: Solve for x
    x = 481,849,928.81/24,065.52
  6. Step 6: Final answer
    x = 20,022.42

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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.