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Finding the Fourth Proportional to 20,808.16, 28,715.38 and 11,376.72

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Solution

The fourth proportional to 20,808.16, 28,715.38 and 11,376.72 is: 15,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808.16 : 28,715.38 = 11,376.72 : x
  2. Step 2: Convert to fraction form
    20,808.16/28,715.38 = 11,376.72/x
  3. Step 3: Cross multiply
    20,808.16x = 28,715.38 × 11,376.72
  4. Step 4: Simplify right side
    20,808.16x = 326,686,981.19
  5. Step 5: Solve for x
    x = 326,686,981.19/20,808.16
  6. Step 6: Final answer
    x = 15,699.94

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Why These Related Problems?

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