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Finding the Fourth Proportional to 23,381.78, 35,083.60 and 13,529.34

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Solution

The fourth proportional to 23,381.78, 35,083.60 and 13,529.34 is: 20,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.78 : 35,083.60 = 13,529.34 : x
  2. Step 2: Convert to fraction form
    23,381.78/35,083.60 = 13,529.34/x
  3. Step 3: Cross multiply
    23,381.78x = 35,083.60 × 13,529.34
  4. Step 4: Simplify right side
    23,381.78x = 474,657,952.82
  5. Step 5: Solve for x
    x = 474,657,952.82/23,381.78
  6. Step 6: Final answer
    x = 20,300.33

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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.