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Finding the Fourth Proportional to 26,207.35, 39,298.93 and 8,434.74

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Solution

The fourth proportional to 26,207.35, 39,298.93 and 8,434.74 is: 12,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,207.35 : 39,298.93 = 8,434.74 : x
  2. Step 2: Convert to fraction form
    26,207.35/39,298.93 = 8,434.74/x
  3. Step 3: Cross multiply
    26,207.35x = 39,298.93 × 8,434.74
  4. Step 4: Simplify right side
    26,207.35x = 331,476,256.83
  5. Step 5: Solve for x
    x = 331,476,256.83/26,207.35
  6. Step 6: Final answer
    x = 12,648.22

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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.