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Finding the Fourth Proportional to 34,357.09, 51,563.90 and 14,657.89

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Solution

The fourth proportional to 34,357.09, 51,563.90 and 14,657.89 is: 21,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,357.09 : 51,563.90 = 14,657.89 : x
  2. Step 2: Convert to fraction form
    34,357.09/51,563.90 = 14,657.89/x
  3. Step 3: Cross multiply
    34,357.09x = 51,563.90 × 14,657.89
  4. Step 4: Simplify right side
    34,357.09x = 755,817,974.17
  5. Step 5: Solve for x
    x = 755,817,974.17/34,357.09
  6. Step 6: Final answer
    x = 21,998.89

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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.