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Finding the Fourth Proportional to 24,335.74, 36,509.79 and 6,805.66

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Solution

The fourth proportional to 24,335.74, 36,509.79 and 6,805.66 is: 10,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.74 : 36,509.79 = 6,805.66 : x
  2. Step 2: Convert to fraction form
    24,335.74/36,509.79 = 6,805.66/x
  3. Step 3: Cross multiply
    24,335.74x = 36,509.79 × 6,805.66
  4. Step 4: Simplify right side
    24,335.74x = 248,473,217.41
  5. Step 5: Solve for x
    x = 248,473,217.41/24,335.74
  6. Step 6: Final answer
    x = 10,210.22

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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.