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Finding the Fourth Proportional to 14,517.41, 20,033.01 and 8,547.81

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Solution

The fourth proportional to 14,517.41, 20,033.01 and 8,547.81 is: 11,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.41 : 20,033.01 = 8,547.81 : x
  2. Step 2: Convert to fraction form
    14,517.41/20,033.01 = 8,547.81/x
  3. Step 3: Cross multiply
    14,517.41x = 20,033.01 × 8,547.81
  4. Step 4: Simplify right side
    14,517.41x = 171,238,363.21
  5. Step 5: Solve for x
    x = 171,238,363.21/14,517.41
  6. Step 6: Final answer
    x = 11,795.38

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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.