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Finding the Fourth Proportional to 14,122.07, 21,166 and 7,875.44

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Solution

The fourth proportional to 14,122.07, 21,166 and 7,875.44 is: 11,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.07 : 21,166 = 7,875.44 : x
  2. Step 2: Convert to fraction form
    14,122.07/21,166 = 7,875.44/x
  3. Step 3: Cross multiply
    14,122.07x = 21,166 × 7,875.44
  4. Step 4: Simplify right side
    14,122.07x = 166,691,563.04
  5. Step 5: Solve for x
    x = 166,691,563.04/14,122.07
  6. Step 6: Final answer
    x = 11,803.62

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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.