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Finding the Fourth Proportional to 12,688, 17,509.44 and 7,099.84

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Solution

The fourth proportional to 12,688, 17,509.44 and 7,099.84 is: 9,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688 : 17,509.44 = 7,099.84 : x
  2. Step 2: Convert to fraction form
    12,688/17,509.44 = 7,099.84/x
  3. Step 3: Cross multiply
    12,688x = 17,509.44 × 7,099.84
  4. Step 4: Simplify right side
    12,688x = 124,314,222.49
  5. Step 5: Solve for x
    x = 124,314,222.49/12,688
  6. Step 6: Final answer
    x = 9,797.78

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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.