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Finding the Fourth Proportional to 13,000.29, 17,933.18 and 7,963.71

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Solution

The fourth proportional to 13,000.29, 17,933.18 and 7,963.71 is: 10,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.29 : 17,933.18 = 7,963.71 : x
  2. Step 2: Convert to fraction form
    13,000.29/17,933.18 = 7,963.71/x
  3. Step 3: Cross multiply
    13,000.29x = 17,933.18 × 7,963.71
  4. Step 4: Simplify right side
    13,000.29x = 142,814,605.08
  5. Step 5: Solve for x
    x = 142,814,605.08/13,000.29
  6. Step 6: Final answer
    x = 10,985.49

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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.