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Finding the Fourth Proportional to 27,772.32, 38,325.52 and 15,196.32

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Solution

The fourth proportional to 27,772.32, 38,325.52 and 15,196.32 is: 20,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.32 : 38,325.52 = 15,196.32 : x
  2. Step 2: Convert to fraction form
    27,772.32/38,325.52 = 15,196.32/x
  3. Step 3: Cross multiply
    27,772.32x = 38,325.52 × 15,196.32
  4. Step 4: Simplify right side
    27,772.32x = 582,406,866.09
  5. Step 5: Solve for x
    x = 582,406,866.09/27,772.32
  6. Step 6: Final answer
    x = 20,970.77

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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.