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Finding the Fourth Proportional to 20,152.85, 27,810.72 and 11,200.14

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Solution

The fourth proportional to 20,152.85, 27,810.72 and 11,200.14 is: 15,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.85 : 27,810.72 = 11,200.14 : x
  2. Step 2: Convert to fraction form
    20,152.85/27,810.72 = 11,200.14/x
  3. Step 3: Cross multiply
    20,152.85x = 27,810.72 × 11,200.14
  4. Step 4: Simplify right side
    20,152.85x = 311,483,957.50
  5. Step 5: Solve for x
    x = 311,483,957.50/20,152.85
  6. Step 6: Final answer
    x = 15,456.08

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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.