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Finding the Fourth Proportional to 13,752, 20,631.52 and 4,518.08

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Solution

The fourth proportional to 13,752, 20,631.52 and 4,518.08 is: 6,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752 : 20,631.52 = 4,518.08 : x
  2. Step 2: Convert to fraction form
    13,752/20,631.52 = 4,518.08/x
  3. Step 3: Cross multiply
    13,752x = 20,631.52 × 4,518.08
  4. Step 4: Simplify right side
    13,752x = 93,214,857.88
  5. Step 5: Solve for x
    x = 93,214,857.88/13,752
  6. Step 6: Final answer
    x = 6,778.28

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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.