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Finding the Fourth Proportional to 26,557.70, 39,827.25 and 7,832.76

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Solution

The fourth proportional to 26,557.70, 39,827.25 and 7,832.76 is: 11,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,557.70 : 39,827.25 = 7,832.76 : x
  2. Step 2: Convert to fraction form
    26,557.70/39,827.25 = 7,832.76/x
  3. Step 3: Cross multiply
    26,557.70x = 39,827.25 × 7,832.76
  4. Step 4: Simplify right side
    26,557.70x = 311,957,290.71
  5. Step 5: Solve for x
    x = 311,957,290.71/26,557.70
  6. Step 6: Final answer
    x = 11,746.40

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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.