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Finding the Fourth Proportional to 15,686.46, 23,536.98 and 9,839.88

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Solution

The fourth proportional to 15,686.46, 23,536.98 and 9,839.88 is: 14,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.46 : 23,536.98 = 9,839.88 : x
  2. Step 2: Convert to fraction form
    15,686.46/23,536.98 = 9,839.88/x
  3. Step 3: Cross multiply
    15,686.46x = 23,536.98 × 9,839.88
  4. Step 4: Simplify right side
    15,686.46x = 231,601,058.76
  5. Step 5: Solve for x
    x = 231,601,058.76/15,686.46
  6. Step 6: Final answer
    x = 14,764.39

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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.