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Finding the Fourth Proportional to 21,873.96, 32,812.74 and 6,291.72

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Solution

The fourth proportional to 21,873.96, 32,812.74 and 6,291.72 is: 9,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.96 : 32,812.74 = 6,291.72 : x
  2. Step 2: Convert to fraction form
    21,873.96/32,812.74 = 6,291.72/x
  3. Step 3: Cross multiply
    21,873.96x = 32,812.74 × 6,291.72
  4. Step 4: Simplify right side
    21,873.96x = 206,448,572.51
  5. Step 5: Solve for x
    x = 206,448,572.51/21,873.96
  6. Step 6: Final answer
    x = 9,438.10

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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.