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Finding the Fourth Proportional to 14,822.65, 22,241.64 and 6,508.51

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Solution

The fourth proportional to 14,822.65, 22,241.64 and 6,508.51 is: 9,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.65 : 22,241.64 = 6,508.51 : x
  2. Step 2: Convert to fraction form
    14,822.65/22,241.64 = 6,508.51/x
  3. Step 3: Cross multiply
    14,822.65x = 22,241.64 × 6,508.51
  4. Step 4: Simplify right side
    14,822.65x = 144,759,936.36
  5. Step 5: Solve for x
    x = 144,759,936.36/14,822.65
  6. Step 6: Final answer
    x = 9,766.13

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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.