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Finding the Fourth Proportional to 12,663.06, 17,476.74 and 9,513.78

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Solution

The fourth proportional to 12,663.06, 17,476.74 and 9,513.78 is: 13,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.06 : 17,476.74 = 9,513.78 : x
  2. Step 2: Convert to fraction form
    12,663.06/17,476.74 = 9,513.78/x
  3. Step 3: Cross multiply
    12,663.06x = 17,476.74 × 9,513.78
  4. Step 4: Simplify right side
    12,663.06x = 166,269,859.48
  5. Step 5: Solve for x
    x = 166,269,859.48/12,663.06
  6. Step 6: Final answer
    x = 13,130.31

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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.