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Finding the Fourth Proportional to 14,802.50, 22,212.51 and 5,449.09

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Solution

The fourth proportional to 14,802.50, 22,212.51 and 5,449.09 is: 8,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.50 : 22,212.51 = 5,449.09 : x
  2. Step 2: Convert to fraction form
    14,802.50/22,212.51 = 5,449.09/x
  3. Step 3: Cross multiply
    14,802.50x = 22,212.51 × 5,449.09
  4. Step 4: Simplify right side
    14,802.50x = 121,037,966.12
  5. Step 5: Solve for x
    x = 121,037,966.12/14,802.50
  6. Step 6: Final answer
    x = 8,176.86

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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.