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Finding the Fourth Proportional to 12,707.33, 17,542.31 and 8,460.90

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Solution

The fourth proportional to 12,707.33, 17,542.31 and 8,460.90 is: 11,680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.33 : 17,542.31 = 8,460.90 : x
  2. Step 2: Convert to fraction form
    12,707.33/17,542.31 = 8,460.90/x
  3. Step 3: Cross multiply
    12,707.33x = 17,542.31 × 8,460.90
  4. Step 4: Simplify right side
    12,707.33x = 148,423,688.37
  5. Step 5: Solve for x
    x = 148,423,688.37/12,707.33
  6. Step 6: Final answer
    x = 11,680.17

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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.