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Finding the Fourth Proportional to 26,506.40, 39,761.36 and 8,970.24

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Solution

The fourth proportional to 26,506.40, 39,761.36 and 8,970.24 is: 13,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.40 : 39,761.36 = 8,970.24 : x
  2. Step 2: Convert to fraction form
    26,506.40/39,761.36 = 8,970.24/x
  3. Step 3: Cross multiply
    26,506.40x = 39,761.36 × 8,970.24
  4. Step 4: Simplify right side
    26,506.40x = 356,668,941.93
  5. Step 5: Solve for x
    x = 356,668,941.93/26,506.40
  6. Step 6: Final answer
    x = 13,455.96

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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.