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Finding the Fourth Proportional to 21,014.82, 31,368.45 and 18,523.80

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Solution

The fourth proportional to 21,014.82, 31,368.45 and 18,523.80 is: 27,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.82 : 31,368.45 = 18,523.80 : x
  2. Step 2: Convert to fraction form
    21,014.82/31,368.45 = 18,523.80/x
  3. Step 3: Cross multiply
    21,014.82x = 31,368.45 × 18,523.80
  4. Step 4: Simplify right side
    21,014.82x = 581,062,894.11
  5. Step 5: Solve for x
    x = 581,062,894.11/21,014.82
  6. Step 6: Final answer
    x = 27,650.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.