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Finding the Fourth Proportional to 14,952.33, 22,424.85 and 6,189.75

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Solution

The fourth proportional to 14,952.33, 22,424.85 and 6,189.75 is: 9,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952.33 : 22,424.85 = 6,189.75 : x
  2. Step 2: Convert to fraction form
    14,952.33/22,424.85 = 6,189.75/x
  3. Step 3: Cross multiply
    14,952.33x = 22,424.85 × 6,189.75
  4. Step 4: Simplify right side
    14,952.33x = 138,804,215.29
  5. Step 5: Solve for x
    x = 138,804,215.29/14,952.33
  6. Step 6: Final answer
    x = 9,283.12

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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.