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Finding the Fourth Proportional to 26,155, 39,232.50 and 6,699

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Solution

The fourth proportional to 26,155, 39,232.50 and 6,699 is: 10,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,155 : 39,232.50 = 6,699 : x
  2. Step 2: Convert to fraction form
    26,155/39,232.50 = 6,699/x
  3. Step 3: Cross multiply
    26,155x = 39,232.50 × 6,699
  4. Step 4: Simplify right side
    26,155x = 262,818,517.50
  5. Step 5: Solve for x
    x = 262,818,517.50/26,155
  6. Step 6: Final answer
    x = 10,048.50

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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.