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Finding the Fourth Proportional to 13,670.27, 18,864.28 and 7,702.29

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Solution

The fourth proportional to 13,670.27, 18,864.28 and 7,702.29 is: 10,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.27 : 18,864.28 = 7,702.29 : x
  2. Step 2: Convert to fraction form
    13,670.27/18,864.28 = 7,702.29/x
  3. Step 3: Cross multiply
    13,670.27x = 18,864.28 × 7,702.29
  4. Step 4: Simplify right side
    13,670.27x = 145,298,022.37
  5. Step 5: Solve for x
    x = 145,298,022.37/13,670.27
  6. Step 6: Final answer
    x = 10,628.76

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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.