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Finding the Fourth Proportional to 15,528.38, 21,428.07 and 8,814.14

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Solution

The fourth proportional to 15,528.38, 21,428.07 and 8,814.14 is: 12,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,528.38 : 21,428.07 = 8,814.14 : x
  2. Step 2: Convert to fraction form
    15,528.38/21,428.07 = 8,814.14/x
  3. Step 3: Cross multiply
    15,528.38x = 21,428.07 × 8,814.14
  4. Step 4: Simplify right side
    15,528.38x = 188,869,901.77
  5. Step 5: Solve for x
    x = 188,869,901.77/15,528.38
  6. Step 6: Final answer
    x = 12,162.89

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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.