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Finding the Fourth Proportional to 26,164.68, 39,248.82 and 8,646.81

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Solution

The fourth proportional to 26,164.68, 39,248.82 and 8,646.81 is: 12,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164.68 : 39,248.82 = 8,646.81 : x
  2. Step 2: Convert to fraction form
    26,164.68/39,248.82 = 8,646.81/x
  3. Step 3: Cross multiply
    26,164.68x = 39,248.82 × 8,646.81
  4. Step 4: Simplify right side
    26,164.68x = 339,377,089.26
  5. Step 5: Solve for x
    x = 339,377,089.26/26,164.68
  6. Step 6: Final answer
    x = 12,970.81

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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.