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Finding the Fourth Proportional to 21,058.76, 31,560.82 and 8,564.24

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Solution

The fourth proportional to 21,058.76, 31,560.82 and 8,564.24 is: 12,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,058.76 : 31,560.82 = 8,564.24 : x
  2. Step 2: Convert to fraction form
    21,058.76/31,560.82 = 8,564.24/x
  3. Step 3: Cross multiply
    21,058.76x = 31,560.82 × 8,564.24
  4. Step 4: Simplify right side
    21,058.76x = 270,294,494.57
  5. Step 5: Solve for x
    x = 270,294,494.57/21,058.76
  6. Step 6: Final answer
    x = 12,835.25

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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.