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Finding the Fourth Proportional to 13,693.34, 18,896.66 and 7,726.94

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Solution

The fourth proportional to 13,693.34, 18,896.66 and 7,726.94 is: 10,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.34 : 18,896.66 = 7,726.94 : x
  2. Step 2: Convert to fraction form
    13,693.34/18,896.66 = 7,726.94/x
  3. Step 3: Cross multiply
    13,693.34x = 18,896.66 × 7,726.94
  4. Step 4: Simplify right side
    13,693.34x = 146,013,358.02
  5. Step 5: Solve for x
    x = 146,013,358.02/13,693.34
  6. Step 6: Final answer
    x = 10,663.10

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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.