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Finding the Fourth Proportional to 15,021.78, 22,527 and 6,693.64

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Solution

The fourth proportional to 15,021.78, 22,527 and 6,693.64 is: 10,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,021.78 : 22,527 = 6,693.64 : x
  2. Step 2: Convert to fraction form
    15,021.78/22,527 = 6,693.64/x
  3. Step 3: Cross multiply
    15,021.78x = 22,527 × 6,693.64
  4. Step 4: Simplify right side
    15,021.78x = 150,787,628.28
  5. Step 5: Solve for x
    x = 150,787,628.28/15,021.78
  6. Step 6: Final answer
    x = 10,037.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.