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Finding the Fourth Proportional to 21,008.16, 31,524.49 and 7,869.76

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Solution

The fourth proportional to 21,008.16, 31,524.49 and 7,869.76 is: 11,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.16 : 31,524.49 = 7,869.76 : x
  2. Step 2: Convert to fraction form
    21,008.16/31,524.49 = 7,869.76/x
  3. Step 3: Cross multiply
    21,008.16x = 31,524.49 × 7,869.76
  4. Step 4: Simplify right side
    21,008.16x = 248,090,170.42
  5. Step 5: Solve for x
    x = 248,090,170.42/21,008.16
  6. Step 6: Final answer
    x = 11,809.23

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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.