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Finding the Fourth Proportional to 21,823.72, 32,740.82 and 7,034.04

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Solution

The fourth proportional to 21,823.72, 32,740.82 and 7,034.04 is: 10,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.72 : 32,740.82 = 7,034.04 : x
  2. Step 2: Convert to fraction form
    21,823.72/32,740.82 = 7,034.04/x
  3. Step 3: Cross multiply
    21,823.72x = 32,740.82 × 7,034.04
  4. Step 4: Simplify right side
    21,823.72x = 230,300,237.51
  5. Step 5: Solve for x
    x = 230,300,237.51/21,823.72
  6. Step 6: Final answer
    x = 10,552.75

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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.