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Finding the Fourth Proportional to 20,152.08, 27,810.80 and 11,200.46

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Solution

The fourth proportional to 20,152.08, 27,810.80 and 11,200.46 is: 15,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.08 : 27,810.80 = 11,200.46 : x
  2. Step 2: Convert to fraction form
    20,152.08/27,810.80 = 11,200.46/x
  3. Step 3: Cross multiply
    20,152.08x = 27,810.80 × 11,200.46
  4. Step 4: Simplify right side
    20,152.08x = 311,493,557.91
  5. Step 5: Solve for x
    x = 311,493,557.91/20,152.08
  6. Step 6: Final answer
    x = 15,457.14

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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.