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Finding the Fourth Proportional to 27,026.83, 40,565.16 and 13,709.17

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Solution

The fourth proportional to 27,026.83, 40,565.16 and 13,709.17 is: 20,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026.83 : 40,565.16 = 13,709.17 : x
  2. Step 2: Convert to fraction form
    27,026.83/40,565.16 = 13,709.17/x
  3. Step 3: Cross multiply
    27,026.83x = 40,565.16 × 13,709.17
  4. Step 4: Simplify right side
    27,026.83x = 556,114,725.22
  5. Step 5: Solve for x
    x = 556,114,725.22/27,026.83
  6. Step 6: Final answer
    x = 20,576.39

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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.