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Finding the Fourth Proportional to 26,281, 39,409.62 and 7,556.74

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Solution

The fourth proportional to 26,281, 39,409.62 and 7,556.74 is: 11,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,281 : 39,409.62 = 7,556.74 : x
  2. Step 2: Convert to fraction form
    26,281/39,409.62 = 7,556.74/x
  3. Step 3: Cross multiply
    26,281x = 39,409.62 × 7,556.74
  4. Step 4: Simplify right side
    26,281x = 297,808,251.84
  5. Step 5: Solve for x
    x = 297,808,251.84/26,281
  6. Step 6: Final answer
    x = 11,331.69

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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.