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Finding the Fourth Proportional to 12,688.38, 17,509.77 and 7,974.18

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Solution

The fourth proportional to 12,688.38, 17,509.77 and 7,974.18 is: 11,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.38 : 17,509.77 = 7,974.18 : x
  2. Step 2: Convert to fraction form
    12,688.38/17,509.77 = 7,974.18/x
  3. Step 3: Cross multiply
    12,688.38x = 17,509.77 × 7,974.18
  4. Step 4: Simplify right side
    12,688.38x = 139,626,057.74
  5. Step 5: Solve for x
    x = 139,626,057.74/12,688.38
  6. Step 6: Final answer
    x = 11,004.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.