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Finding the Fourth Proportional to 26,577.54, 39,856.95 and 7,852.59

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Solution

The fourth proportional to 26,577.54, 39,856.95 and 7,852.59 is: 11,776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,577.54 : 39,856.95 = 7,852.59 : x
  2. Step 2: Convert to fraction form
    26,577.54/39,856.95 = 7,852.59/x
  3. Step 3: Cross multiply
    26,577.54x = 39,856.95 × 7,852.59
  4. Step 4: Simplify right side
    26,577.54x = 312,980,287.00
  5. Step 5: Solve for x
    x = 312,980,287.00/26,577.54
  6. Step 6: Final answer
    x = 11,776.12

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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.