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Finding the Fourth Proportional to 24,693.49, 37,032.22 and 8,049.16

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Solution

The fourth proportional to 24,693.49, 37,032.22 and 8,049.16 is: 12,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693.49 : 37,032.22 = 8,049.16 : x
  2. Step 2: Convert to fraction form
    24,693.49/37,032.22 = 8,049.16/x
  3. Step 3: Cross multiply
    24,693.49x = 37,032.22 × 8,049.16
  4. Step 4: Simplify right side
    24,693.49x = 298,078,263.94
  5. Step 5: Solve for x
    x = 298,078,263.94/24,693.49
  6. Step 6: Final answer
    x = 12,071.13

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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.