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Finding the Fourth Proportional to 12,069.34, 16,646.28 and 7,284.29

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Solution

The fourth proportional to 12,069.34, 16,646.28 and 7,284.29 is: 10,046.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.34 : 16,646.28 = 7,284.29 : x
  2. Step 2: Convert to fraction form
    12,069.34/16,646.28 = 7,284.29/x
  3. Step 3: Cross multiply
    12,069.34x = 16,646.28 × 7,284.29
  4. Step 4: Simplify right side
    12,069.34x = 121,256,220.39
  5. Step 5: Solve for x
    x = 121,256,220.39/12,069.34
  6. Step 6: Final answer
    x = 10,046.63

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