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Finding the Fourth Proportional to 20,705.76, 31,058.28 and 5,123.34

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Solution

The fourth proportional to 20,705.76, 31,058.28 and 5,123.34 is: 7,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.76 : 31,058.28 = 5,123.34 : x
  2. Step 2: Convert to fraction form
    20,705.76/31,058.28 = 5,123.34/x
  3. Step 3: Cross multiply
    20,705.76x = 31,058.28 × 5,123.34
  4. Step 4: Simplify right side
    20,705.76x = 159,122,128.26
  5. Step 5: Solve for x
    x = 159,122,128.26/20,705.76
  6. Step 6: Final answer
    x = 7,684.92

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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.