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Finding the Fourth Proportional to 26,925.70, 40,385.70 and 7,206.25

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Solution

The fourth proportional to 26,925.70, 40,385.70 and 7,206.25 is: 10,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,925.70 : 40,385.70 = 7,206.25 : x
  2. Step 2: Convert to fraction form
    26,925.70/40,385.70 = 7,206.25/x
  3. Step 3: Cross multiply
    26,925.70x = 40,385.70 × 7,206.25
  4. Step 4: Simplify right side
    26,925.70x = 291,029,450.63
  5. Step 5: Solve for x
    x = 291,029,450.63/26,925.70
  6. Step 6: Final answer
    x = 10,808.61

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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.