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Finding the Fourth Proportional to 26,547.59, 39,846.03 and 13,409.19

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Solution

The fourth proportional to 26,547.59, 39,846.03 and 13,409.19 is: 20,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,547.59 : 39,846.03 = 13,409.19 : x
  2. Step 2: Convert to fraction form
    26,547.59/39,846.03 = 13,409.19/x
  3. Step 3: Cross multiply
    26,547.59x = 39,846.03 × 13,409.19
  4. Step 4: Simplify right side
    26,547.59x = 534,302,936.73
  5. Step 5: Solve for x
    x = 534,302,936.73/26,547.59
  6. Step 6: Final answer
    x = 20,126.23

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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.