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Finding the Fourth Proportional to 16,508.48, 24,762.71 and 5,842.74

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Solution

The fourth proportional to 16,508.48, 24,762.71 and 5,842.74 is: 8,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.48 : 24,762.71 = 5,842.74 : x
  2. Step 2: Convert to fraction form
    16,508.48/24,762.71 = 5,842.74/x
  3. Step 3: Cross multiply
    16,508.48x = 24,762.71 × 5,842.74
  4. Step 4: Simplify right side
    16,508.48x = 144,682,090.83
  5. Step 5: Solve for x
    x = 144,682,090.83/16,508.48
  6. Step 6: Final answer
    x = 8,764.11

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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.