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Finding the Fourth Proportional to 15,287.69, 21,097 and 8,914.54

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Solution

The fourth proportional to 15,287.69, 21,097 and 8,914.54 is: 12,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,287.69 : 21,097 = 8,914.54 : x
  2. Step 2: Convert to fraction form
    15,287.69/21,097 = 8,914.54/x
  3. Step 3: Cross multiply
    15,287.69x = 21,097 × 8,914.54
  4. Step 4: Simplify right side
    15,287.69x = 188,070,050.38
  5. Step 5: Solve for x
    x = 188,070,050.38/15,287.69
  6. Step 6: Final answer
    x = 12,302.06

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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.