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Finding the Fourth Proportional to 20,712.16, 31,074 and 11,484.64

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Solution

The fourth proportional to 20,712.16, 31,074 and 11,484.64 is: 17,230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712.16 : 31,074 = 11,484.64 : x
  2. Step 2: Convert to fraction form
    20,712.16/31,074 = 11,484.64/x
  3. Step 3: Cross multiply
    20,712.16x = 31,074 × 11,484.64
  4. Step 4: Simplify right side
    20,712.16x = 356,873,703.36
  5. Step 5: Solve for x
    x = 356,873,703.36/20,712.16
  6. Step 6: Final answer
    x = 17,230.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.