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Finding the Fourth Proportional to 27,393.26, 37,802.62 and 14,818

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Solution

The fourth proportional to 27,393.26, 37,802.62 and 14,818 is: 20,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,393.26 : 37,802.62 = 14,818 : x
  2. Step 2: Convert to fraction form
    27,393.26/37,802.62 = 14,818/x
  3. Step 3: Cross multiply
    27,393.26x = 37,802.62 × 14,818
  4. Step 4: Simplify right side
    27,393.26x = 560,159,223.16
  5. Step 5: Solve for x
    x = 560,159,223.16/27,393.26
  6. Step 6: Final answer
    x = 20,448.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.