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Finding the Fourth Proportional to 26,426, 39,611.07 and 9,775.34

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Solution

The fourth proportional to 26,426, 39,611.07 and 9,775.34 is: 14,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,426 : 39,611.07 = 9,775.34 : x
  2. Step 2: Convert to fraction form
    26,426/39,611.07 = 9,775.34/x
  3. Step 3: Cross multiply
    26,426x = 39,611.07 × 9,775.34
  4. Step 4: Simplify right side
    26,426x = 387,211,677.01
  5. Step 5: Solve for x
    x = 387,211,677.01/26,426
  6. Step 6: Final answer
    x = 14,652.68

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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.