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Finding the Fourth Proportional to 26,202.96, 39,323.48 and 19,646.82

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Solution

The fourth proportional to 26,202.96, 39,323.48 and 19,646.82 is: 29,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202.96 : 39,323.48 = 19,646.82 : x
  2. Step 2: Convert to fraction form
    26,202.96/39,323.48 = 19,646.82/x
  3. Step 3: Cross multiply
    26,202.96x = 39,323.48 × 19,646.82
  4. Step 4: Simplify right side
    26,202.96x = 772,581,235.10
  5. Step 5: Solve for x
    x = 772,581,235.10/26,202.96
  6. Step 6: Final answer
    x = 29,484.50

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Why These Related Problems?

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