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Finding the Fourth Proportional to 23,157.76, 34,743.12 and 9,316.48

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Solution

The fourth proportional to 23,157.76, 34,743.12 and 9,316.48 is: 13,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.76 : 34,743.12 = 9,316.48 : x
  2. Step 2: Convert to fraction form
    23,157.76/34,743.12 = 9,316.48/x
  3. Step 3: Cross multiply
    23,157.76x = 34,743.12 × 9,316.48
  4. Step 4: Simplify right side
    23,157.76x = 323,683,582.62
  5. Step 5: Solve for x
    x = 323,683,582.62/23,157.76
  6. Step 6: Final answer
    x = 13,977.33

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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.