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Finding the Fourth Proportional to 16,315.86, 22,519.97 and 10,024.59

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Solution

The fourth proportional to 16,315.86, 22,519.97 and 10,024.59 is: 13,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.86 : 22,519.97 = 10,024.59 : x
  2. Step 2: Convert to fraction form
    16,315.86/22,519.97 = 10,024.59/x
  3. Step 3: Cross multiply
    16,315.86x = 22,519.97 × 10,024.59
  4. Step 4: Simplify right side
    16,315.86x = 225,753,594.37
  5. Step 5: Solve for x
    x = 225,753,594.37/16,315.86
  6. Step 6: Final answer
    x = 13,836.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.