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Finding the Fourth Proportional to 21,188.98, 31,782.06 and 8,705.77

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Solution

The fourth proportional to 21,188.98, 31,782.06 and 8,705.77 is: 13,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.98 : 31,782.06 = 8,705.77 : x
  2. Step 2: Convert to fraction form
    21,188.98/31,782.06 = 8,705.77/x
  3. Step 3: Cross multiply
    21,188.98x = 31,782.06 × 8,705.77
  4. Step 4: Simplify right side
    21,188.98x = 276,687,304.49
  5. Step 5: Solve for x
    x = 276,687,304.49/21,188.98
  6. Step 6: Final answer
    x = 13,058.08

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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.