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Finding the Fourth Proportional to 13,007.74, 17,935.71 and 9,609.66

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Solution

The fourth proportional to 13,007.74, 17,935.71 and 9,609.66 is: 13,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.74 : 17,935.71 = 9,609.66 : x
  2. Step 2: Convert to fraction form
    13,007.74/17,935.71 = 9,609.66/x
  3. Step 3: Cross multiply
    13,007.74x = 17,935.71 × 9,609.66
  4. Step 4: Simplify right side
    13,007.74x = 172,356,159.41
  5. Step 5: Solve for x
    x = 172,356,159.41/13,007.74
  6. Step 6: Final answer
    x = 13,250.28

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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.