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Finding the Fourth Proportional to 24,144.58, 36,224.42 and 10,828.74

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Solution

The fourth proportional to 24,144.58, 36,224.42 and 10,828.74 is: 16,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.58 : 36,224.42 = 10,828.74 : x
  2. Step 2: Convert to fraction form
    24,144.58/36,224.42 = 10,828.74/x
  3. Step 3: Cross multiply
    24,144.58x = 36,224.42 × 10,828.74
  4. Step 4: Simplify right side
    24,144.58x = 392,264,703.77
  5. Step 5: Solve for x
    x = 392,264,703.77/24,144.58
  6. Step 6: Final answer
    x = 16,246.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.