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Finding the Fourth Proportional to 26,382.15, 39,567.02 and 7,657.25

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Solution

The fourth proportional to 26,382.15, 39,567.02 and 7,657.25 is: 11,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382.15 : 39,567.02 = 7,657.25 : x
  2. Step 2: Convert to fraction form
    26,382.15/39,567.02 = 7,657.25/x
  3. Step 3: Cross multiply
    26,382.15x = 39,567.02 × 7,657.25
  4. Step 4: Simplify right side
    26,382.15x = 302,974,327.77
  5. Step 5: Solve for x
    x = 302,974,327.77/26,382.15
  6. Step 6: Final answer
    x = 11,484.07

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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.