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Finding the Fourth Proportional to 18,457.69, 27,686.93 and 6,612.24

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Solution

The fourth proportional to 18,457.69, 27,686.93 and 6,612.24 is: 9,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457.69 : 27,686.93 = 6,612.24 : x
  2. Step 2: Convert to fraction form
    18,457.69/27,686.93 = 6,612.24/x
  3. Step 3: Cross multiply
    18,457.69x = 27,686.93 × 6,612.24
  4. Step 4: Simplify right side
    18,457.69x = 183,072,487.59
  5. Step 5: Solve for x
    x = 183,072,487.59/18,457.69
  6. Step 6: Final answer
    x = 9,918.49

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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.