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Finding the Fourth Proportional to 26,565.54, 39,838.98 and 7,840.56

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Solution

The fourth proportional to 26,565.54, 39,838.98 and 7,840.56 is: 11,758.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,565.54 : 39,838.98 = 7,840.56 : x
  2. Step 2: Convert to fraction form
    26,565.54/39,838.98 = 7,840.56/x
  3. Step 3: Cross multiply
    26,565.54x = 39,838.98 × 7,840.56
  4. Step 4: Simplify right side
    26,565.54x = 312,359,913.03
  5. Step 5: Solve for x
    x = 312,359,913.03/26,565.54
  6. Step 6: Final answer
    x = 11,758.09

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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.