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Finding the Fourth Proportional to 12,646.14, 17,446.23 and 7,929.51

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Solution

The fourth proportional to 12,646.14, 17,446.23 and 7,929.51 is: 10,939.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.14 : 17,446.23 = 7,929.51 : x
  2. Step 2: Convert to fraction form
    12,646.14/17,446.23 = 7,929.51/x
  3. Step 3: Cross multiply
    12,646.14x = 17,446.23 × 7,929.51
  4. Step 4: Simplify right side
    12,646.14x = 138,340,055.25
  5. Step 5: Solve for x
    x = 138,340,055.25/12,646.14
  6. Step 6: Final answer
    x = 10,939.31

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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.