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Finding the Fourth Proportional to 23,172, 34,764.54 and 6,532.19

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Solution

The fourth proportional to 23,172, 34,764.54 and 6,532.19 is: 9,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172 : 34,764.54 = 6,532.19 : x
  2. Step 2: Convert to fraction form
    23,172/34,764.54 = 6,532.19/x
  3. Step 3: Cross multiply
    23,172x = 34,764.54 × 6,532.19
  4. Step 4: Simplify right side
    23,172x = 227,088,406.72
  5. Step 5: Solve for x
    x = 227,088,406.72/23,172
  6. Step 6: Final answer
    x = 9,800.12

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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.