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Finding the Fourth Proportional to 19,712.76, 29,570.10 and 8,027.64

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Solution

The fourth proportional to 19,712.76, 29,570.10 and 8,027.64 is: 12,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.76 : 29,570.10 = 8,027.64 : x
  2. Step 2: Convert to fraction form
    19,712.76/29,570.10 = 8,027.64/x
  3. Step 3: Cross multiply
    19,712.76x = 29,570.10 × 8,027.64
  4. Step 4: Simplify right side
    19,712.76x = 237,378,117.56
  5. Step 5: Solve for x
    x = 237,378,117.56/19,712.76
  6. Step 6: Final answer
    x = 12,041.85

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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.