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Finding the Fourth Proportional to 20,152.44, 27,811.04 and 11,200.32

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Solution

The fourth proportional to 20,152.44, 27,811.04 and 11,200.32 is: 15,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.44 : 27,811.04 = 11,200.32 : x
  2. Step 2: Convert to fraction form
    20,152.44/27,811.04 = 11,200.32/x
  3. Step 3: Cross multiply
    20,152.44x = 27,811.04 × 11,200.32
  4. Step 4: Simplify right side
    20,152.44x = 311,492,547.53
  5. Step 5: Solve for x
    x = 311,492,547.53/20,152.44
  6. Step 6: Final answer
    x = 15,456.82

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