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Finding the Fourth Proportional to 21,914.24, 32,868.12 and 8,060

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Solution

The fourth proportional to 21,914.24, 32,868.12 and 8,060 is: 12,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.24 : 32,868.12 = 8,060 : x
  2. Step 2: Convert to fraction form
    21,914.24/32,868.12 = 8,060/x
  3. Step 3: Cross multiply
    21,914.24x = 32,868.12 × 8,060
  4. Step 4: Simplify right side
    21,914.24x = 264,917,047.20
  5. Step 5: Solve for x
    x = 264,917,047.20/21,914.24
  6. Step 6: Final answer
    x = 12,088.81

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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.