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Finding the Fourth Proportional to 20,516.81, 28,312.80 and 11,564.13

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Solution

The fourth proportional to 20,516.81, 28,312.80 and 11,564.13 is: 15,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.81 : 28,312.80 = 11,564.13 : x
  2. Step 2: Convert to fraction form
    20,516.81/28,312.80 = 11,564.13/x
  3. Step 3: Cross multiply
    20,516.81x = 28,312.80 × 11,564.13
  4. Step 4: Simplify right side
    20,516.81x = 327,412,962.67
  5. Step 5: Solve for x
    x = 327,412,962.67/20,516.81
  6. Step 6: Final answer
    x = 15,958.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.