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Finding the Fourth Proportional to 23,726.34, 35,586 and 7,931.43

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Solution

The fourth proportional to 23,726.34, 35,586 and 7,931.43 is: 11,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.34 : 35,586 = 7,931.43 : x
  2. Step 2: Convert to fraction form
    23,726.34/35,586 = 7,931.43/x
  3. Step 3: Cross multiply
    23,726.34x = 35,586 × 7,931.43
  4. Step 4: Simplify right side
    23,726.34x = 282,247,867.98
  5. Step 5: Solve for x
    x = 282,247,867.98/23,726.34
  6. Step 6: Final answer
    x = 11,895.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.