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Finding the Fourth Proportional to 15,786.66, 23,673.10 and 8,389.34

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Solution

The fourth proportional to 15,786.66, 23,673.10 and 8,389.34 is: 12,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.66 : 23,673.10 = 8,389.34 : x
  2. Step 2: Convert to fraction form
    15,786.66/23,673.10 = 8,389.34/x
  3. Step 3: Cross multiply
    15,786.66x = 23,673.10 × 8,389.34
  4. Step 4: Simplify right side
    15,786.66x = 198,601,684.75
  5. Step 5: Solve for x
    x = 198,601,684.75/15,786.66
  6. Step 6: Final answer
    x = 12,580.35

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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.