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Finding the Fourth Proportional to 26,429.40, 39,647.70 and 9,785.40

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Solution

The fourth proportional to 26,429.40, 39,647.70 and 9,785.40 is: 14,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,429.40 : 39,647.70 = 9,785.40 : x
  2. Step 2: Convert to fraction form
    26,429.40/39,647.70 = 9,785.40/x
  3. Step 3: Cross multiply
    26,429.40x = 39,647.70 × 9,785.40
  4. Step 4: Simplify right side
    26,429.40x = 387,968,603.58
  5. Step 5: Solve for x
    x = 387,968,603.58/26,429.40
  6. Step 6: Final answer
    x = 14,679.43

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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.