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Finding the Fourth Proportional to 24,243, 36,351.24 and 16,345.48

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Solution

The fourth proportional to 24,243, 36,351.24 and 16,345.48 is: 24,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243 : 36,351.24 = 16,345.48 : x
  2. Step 2: Convert to fraction form
    24,243/36,351.24 = 16,345.48/x
  3. Step 3: Cross multiply
    24,243x = 36,351.24 × 16,345.48
  4. Step 4: Simplify right side
    24,243x = 594,178,466.40
  5. Step 5: Solve for x
    x = 594,178,466.40/24,243
  6. Step 6: Final answer
    x = 24,509.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.