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Finding the Fourth Proportional to 24,738.22, 37,024.71 and 14,710.42

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Solution

The fourth proportional to 24,738.22, 37,024.71 and 14,710.42 is: 22,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.22 : 37,024.71 = 14,710.42 : x
  2. Step 2: Convert to fraction form
    24,738.22/37,024.71 = 14,710.42/x
  3. Step 3: Cross multiply
    24,738.22x = 37,024.71 × 14,710.42
  4. Step 4: Simplify right side
    24,738.22x = 544,649,034.48
  5. Step 5: Solve for x
    x = 544,649,034.48/24,738.22
  6. Step 6: Final answer
    x = 22,016.50

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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.