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Finding the Fourth Proportional to 12,642.49, 17,445.81 and 7,605.78

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Solution

The fourth proportional to 12,642.49, 17,445.81 and 7,605.78 is: 10,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.49 : 17,445.81 = 7,605.78 : x
  2. Step 2: Convert to fraction form
    12,642.49/17,445.81 = 7,605.78/x
  3. Step 3: Cross multiply
    12,642.49x = 17,445.81 × 7,605.78
  4. Step 4: Simplify right side
    12,642.49x = 132,688,992.78
  5. Step 5: Solve for x
    x = 132,688,992.78/12,642.49
  6. Step 6: Final answer
    x = 10,495.48

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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.