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Finding the Fourth Proportional to 19,856.16, 29,791.16 and 13,219.32

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Solution

The fourth proportional to 19,856.16, 29,791.16 and 13,219.32 is: 19,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.16 : 29,791.16 = 13,219.32 : x
  2. Step 2: Convert to fraction form
    19,856.16/29,791.16 = 13,219.32/x
  3. Step 3: Cross multiply
    19,856.16x = 29,791.16 × 13,219.32
  4. Step 4: Simplify right side
    19,856.16x = 393,818,877.21
  5. Step 5: Solve for x
    x = 393,818,877.21/19,856.16
  6. Step 6: Final answer
    x = 19,833.59

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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.