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Finding the Fourth Proportional to 14,501.78, 21,713.68 and 9,208.12

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Solution

The fourth proportional to 14,501.78, 21,713.68 and 9,208.12 is: 13,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,501.78 : 21,713.68 = 9,208.12 : x
  2. Step 2: Convert to fraction form
    14,501.78/21,713.68 = 9,208.12/x
  3. Step 3: Cross multiply
    14,501.78x = 21,713.68 × 9,208.12
  4. Step 4: Simplify right side
    14,501.78x = 199,942,171.08
  5. Step 5: Solve for x
    x = 199,942,171.08/14,501.78
  6. Step 6: Final answer
    x = 13,787.42

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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.