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Finding the Fourth Proportional to 27,573.25, 38,051.13 and 14,998

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Solution

The fourth proportional to 27,573.25, 38,051.13 and 14,998 is: 20,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,573.25 : 38,051.13 = 14,998 : x
  2. Step 2: Convert to fraction form
    27,573.25/38,051.13 = 14,998/x
  3. Step 3: Cross multiply
    27,573.25x = 38,051.13 × 14,998
  4. Step 4: Simplify right side
    27,573.25x = 570,690,847.74
  5. Step 5: Solve for x
    x = 570,690,847.74/27,573.25
  6. Step 6: Final answer
    x = 20,697.26

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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.