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Finding the Fourth Proportional to 26,501.40, 39,742.26 and 7,776.66

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Solution

The fourth proportional to 26,501.40, 39,742.26 and 7,776.66 is: 11,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,501.40 : 39,742.26 = 7,776.66 : x
  2. Step 2: Convert to fraction form
    26,501.40/39,742.26 = 7,776.66/x
  3. Step 3: Cross multiply
    26,501.40x = 39,742.26 × 7,776.66
  4. Step 4: Simplify right side
    26,501.40x = 309,062,043.65
  5. Step 5: Solve for x
    x = 309,062,043.65/26,501.40
  6. Step 6: Final answer
    x = 11,662.10

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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.