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Finding the Fourth Proportional to 23,035.32, 34,543.68 and 8,993.34

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Solution

The fourth proportional to 23,035.32, 34,543.68 and 8,993.34 is: 13,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,035.32 : 34,543.68 = 8,993.34 : x
  2. Step 2: Convert to fraction form
    23,035.32/34,543.68 = 8,993.34/x
  3. Step 3: Cross multiply
    23,035.32x = 34,543.68 × 8,993.34
  4. Step 4: Simplify right side
    23,035.32x = 310,663,059.09
  5. Step 5: Solve for x
    x = 310,663,059.09/23,035.32
  6. Step 6: Final answer
    x = 13,486.38

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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.