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Finding the Fourth Proportional to 26,258.84, 39,381.86 and 7,534.47

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Solution

The fourth proportional to 26,258.84, 39,381.86 and 7,534.47 is: 11,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,258.84 : 39,381.86 = 7,534.47 : x
  2. Step 2: Convert to fraction form
    26,258.84/39,381.86 = 7,534.47/x
  3. Step 3: Cross multiply
    26,258.84x = 39,381.86 × 7,534.47
  4. Step 4: Simplify right side
    26,258.84x = 296,721,405.04
  5. Step 5: Solve for x
    x = 296,721,405.04/26,258.84
  6. Step 6: Final answer
    x = 11,299.87

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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.