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Finding the Fourth Proportional to 15,948.16, 23,924.67 and 8,154.34

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Solution

The fourth proportional to 15,948.16, 23,924.67 and 8,154.34 is: 12,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,948.16 : 23,924.67 = 8,154.34 : x
  2. Step 2: Convert to fraction form
    15,948.16/23,924.67 = 8,154.34/x
  3. Step 3: Cross multiply
    15,948.16x = 23,924.67 × 8,154.34
  4. Step 4: Simplify right side
    15,948.16x = 195,089,893.57
  5. Step 5: Solve for x
    x = 195,089,893.57/15,948.16
  6. Step 6: Final answer
    x = 12,232.75

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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.