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Finding the Fourth Proportional to 21,321.93, 31,984.27 and 6,541.16

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Solution

The fourth proportional to 21,321.93, 31,984.27 and 6,541.16 is: 9,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.93 : 31,984.27 = 6,541.16 : x
  2. Step 2: Convert to fraction form
    21,321.93/31,984.27 = 6,541.16/x
  3. Step 3: Cross multiply
    21,321.93x = 31,984.27 × 6,541.16
  4. Step 4: Simplify right side
    21,321.93x = 209,214,051.28
  5. Step 5: Solve for x
    x = 209,214,051.28/21,321.93
  6. Step 6: Final answer
    x = 9,812.15

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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.