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Finding the Fourth Proportional to 26,193.46, 39,290.54 and 7,473.50

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Solution

The fourth proportional to 26,193.46, 39,290.54 and 7,473.50 is: 11,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,193.46 : 39,290.54 = 7,473.50 : x
  2. Step 2: Convert to fraction form
    26,193.46/39,290.54 = 7,473.50/x
  3. Step 3: Cross multiply
    26,193.46x = 39,290.54 × 7,473.50
  4. Step 4: Simplify right side
    26,193.46x = 293,637,850.69
  5. Step 5: Solve for x
    x = 293,637,850.69/26,193.46
  6. Step 6: Final answer
    x = 11,210.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.