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Finding the Fourth Proportional to 20,288.64, 28,003 and 13,202.76

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Solution

The fourth proportional to 20,288.64, 28,003 and 13,202.76 is: 18,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288.64 : 28,003 = 13,202.76 : x
  2. Step 2: Convert to fraction form
    20,288.64/28,003 = 13,202.76/x
  3. Step 3: Cross multiply
    20,288.64x = 28,003 × 13,202.76
  4. Step 4: Simplify right side
    20,288.64x = 369,716,888.28
  5. Step 5: Solve for x
    x = 369,716,888.28/20,288.64
  6. Step 6: Final answer
    x = 18,222.85

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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.