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Finding the Fourth Proportional to 13,744.69, 18,966.45 and 9,713.06

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Solution

The fourth proportional to 13,744.69, 18,966.45 and 9,713.06 is: 13,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.69 : 18,966.45 = 9,713.06 : x
  2. Step 2: Convert to fraction form
    13,744.69/18,966.45 = 9,713.06/x
  3. Step 3: Cross multiply
    13,744.69x = 18,966.45 × 9,713.06
  4. Step 4: Simplify right side
    13,744.69x = 184,222,386.24
  5. Step 5: Solve for x
    x = 184,222,386.24/13,744.69
  6. Step 6: Final answer
    x = 13,403.17

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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.