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Finding the Fourth Proportional to 11,802.51, 17,714.70 and 9,418.68

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Solution

The fourth proportional to 11,802.51, 17,714.70 and 9,418.68 is: 14,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.51 : 17,714.70 = 9,418.68 : x
  2. Step 2: Convert to fraction form
    11,802.51/17,714.70 = 9,418.68/x
  3. Step 3: Cross multiply
    11,802.51x = 17,714.70 × 9,418.68
  4. Step 4: Simplify right side
    11,802.51x = 166,849,090.60
  5. Step 5: Solve for x
    x = 166,849,090.60/11,802.51
  6. Step 6: Final answer
    x = 14,136.75

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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.