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Finding the Fourth Proportional to 16,464.48, 24,698.75 and 5,368.20

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Solution

The fourth proportional to 16,464.48, 24,698.75 and 5,368.20 is: 8,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.48 : 24,698.75 = 5,368.20 : x
  2. Step 2: Convert to fraction form
    16,464.48/24,698.75 = 5,368.20/x
  3. Step 3: Cross multiply
    16,464.48x = 24,698.75 × 5,368.20
  4. Step 4: Simplify right side
    16,464.48x = 132,587,802.91
  5. Step 5: Solve for x
    x = 132,587,802.91/16,464.48
  6. Step 6: Final answer
    x = 8,052.96

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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.