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Finding the Fourth Proportional to 26,501.83, 39,752.94 and 7,782.19

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Solution

The fourth proportional to 26,501.83, 39,752.94 and 7,782.19 is: 11,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,501.83 : 39,752.94 = 7,782.19 : x
  2. Step 2: Convert to fraction form
    26,501.83/39,752.94 = 7,782.19/x
  3. Step 3: Cross multiply
    26,501.83x = 39,752.94 × 7,782.19
  4. Step 4: Simplify right side
    26,501.83x = 309,364,733.37
  5. Step 5: Solve for x
    x = 309,364,733.37/26,501.83
  6. Step 6: Final answer
    x = 11,673.34

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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.