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Finding the Fourth Proportional to 24,085.66, 33,237.22 and 14,014.38

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Solution

The fourth proportional to 24,085.66, 33,237.22 and 14,014.38 is: 19,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,085.66 : 33,237.22 = 14,014.38 : x
  2. Step 2: Convert to fraction form
    24,085.66/33,237.22 = 14,014.38/x
  3. Step 3: Cross multiply
    24,085.66x = 33,237.22 × 14,014.38
  4. Step 4: Simplify right side
    24,085.66x = 465,799,031.22
  5. Step 5: Solve for x
    x = 465,799,031.22/24,085.66
  6. Step 6: Final answer
    x = 19,339.27

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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.