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Finding the Fourth Proportional to 21,021.79, 31,516.88 and 9,922.16

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Solution

The fourth proportional to 21,021.79, 31,516.88 and 9,922.16 is: 14,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,021.79 : 31,516.88 = 9,922.16 : x
  2. Step 2: Convert to fraction form
    21,021.79/31,516.88 = 9,922.16/x
  3. Step 3: Cross multiply
    21,021.79x = 31,516.88 × 9,922.16
  4. Step 4: Simplify right side
    21,021.79x = 312,715,476.45
  5. Step 5: Solve for x
    x = 312,715,476.45/21,021.79
  6. Step 6: Final answer
    x = 14,875.78

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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.