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Finding the Fourth Proportional to 24,071.34, 36,107.75 and 6,541.54

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Solution

The fourth proportional to 24,071.34, 36,107.75 and 6,541.54 is: 9,812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.34 : 36,107.75 = 6,541.54 : x
  2. Step 2: Convert to fraction form
    24,071.34/36,107.75 = 6,541.54/x
  3. Step 3: Cross multiply
    24,071.34x = 36,107.75 × 6,541.54
  4. Step 4: Simplify right side
    24,071.34x = 236,200,290.94
  5. Step 5: Solve for x
    x = 236,200,290.94/24,071.34
  6. Step 6: Final answer
    x = 9,812.51

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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.