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Finding the Fourth Proportional to 12,259.68, 16,918.20 and 6,670.68

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Solution

The fourth proportional to 12,259.68, 16,918.20 and 6,670.68 is: 9,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.68 : 16,918.20 = 6,670.68 : x
  2. Step 2: Convert to fraction form
    12,259.68/16,918.20 = 6,670.68/x
  3. Step 3: Cross multiply
    12,259.68x = 16,918.20 × 6,670.68
  4. Step 4: Simplify right side
    12,259.68x = 112,855,898.38
  5. Step 5: Solve for x
    x = 112,855,898.38/12,259.68
  6. Step 6: Final answer
    x = 9,205.45

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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.