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Finding the Fourth Proportional to 34,188.89, 51,266.93 and 14,456.68

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Solution

The fourth proportional to 34,188.89, 51,266.93 and 14,456.68 is: 21,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,188.89 : 51,266.93 = 14,456.68 : x
  2. Step 2: Convert to fraction form
    34,188.89/51,266.93 = 14,456.68/x
  3. Step 3: Cross multiply
    34,188.89x = 51,266.93 × 14,456.68
  4. Step 4: Simplify right side
    34,188.89x = 741,149,401.14
  5. Step 5: Solve for x
    x = 741,149,401.14/34,188.89
  6. Step 6: Final answer
    x = 21,678.08

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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.