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Finding the Fourth Proportional to 11,707.34, 17,639.98 and 9,672.82

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Solution

The fourth proportional to 11,707.34, 17,639.98 and 9,672.82 is: 14,574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.34 : 17,639.98 = 9,672.82 : x
  2. Step 2: Convert to fraction form
    11,707.34/17,639.98 = 9,672.82/x
  3. Step 3: Cross multiply
    11,707.34x = 17,639.98 × 9,672.82
  4. Step 4: Simplify right side
    11,707.34x = 170,628,283.06
  5. Step 5: Solve for x
    x = 170,628,283.06/11,707.34
  6. Step 6: Final answer
    x = 14,574.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.