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Finding the Fourth Proportional to 12,455, 17,187.90 and 6,866.04

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Solution

The fourth proportional to 12,455, 17,187.90 and 6,866.04 is: 9,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455 : 17,187.90 = 6,866.04 : x
  2. Step 2: Convert to fraction form
    12,455/17,187.90 = 6,866.04/x
  3. Step 3: Cross multiply
    12,455x = 17,187.90 × 6,866.04
  4. Step 4: Simplify right side
    12,455x = 118,012,808.92
  5. Step 5: Solve for x
    x = 118,012,808.92/12,455
  6. Step 6: Final answer
    x = 9,475.14

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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.