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Finding the Fourth Proportional to 20,000.16, 27,598.56 and 11,501.84

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Solution

The fourth proportional to 20,000.16, 27,598.56 and 11,501.84 is: 15,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.16 : 27,598.56 = 11,501.84 : x
  2. Step 2: Convert to fraction form
    20,000.16/27,598.56 = 11,501.84/x
  3. Step 3: Cross multiply
    20,000.16x = 27,598.56 × 11,501.84
  4. Step 4: Simplify right side
    20,000.16x = 317,434,221.35
  5. Step 5: Solve for x
    x = 317,434,221.35/20,000.16
  6. Step 6: Final answer
    x = 15,871.58

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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.