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Finding the Fourth Proportional to 14,757.16, 22,135.74 and 5,521

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Solution

The fourth proportional to 14,757.16, 22,135.74 and 5,521 is: 8,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.16 : 22,135.74 = 5,521 : x
  2. Step 2: Convert to fraction form
    14,757.16/22,135.74 = 5,521/x
  3. Step 3: Cross multiply
    14,757.16x = 22,135.74 × 5,521
  4. Step 4: Simplify right side
    14,757.16x = 122,211,420.54
  5. Step 5: Solve for x
    x = 122,211,420.54/14,757.16
  6. Step 6: Final answer
    x = 8,281.50

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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.