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Finding the Fourth Proportional to 14,830.71, 20,466.38 and 8,116.34

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Solution

The fourth proportional to 14,830.71, 20,466.38 and 8,116.34 is: 11,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.71 : 20,466.38 = 8,116.34 : x
  2. Step 2: Convert to fraction form
    14,830.71/20,466.38 = 8,116.34/x
  3. Step 3: Cross multiply
    14,830.71x = 20,466.38 × 8,116.34
  4. Step 4: Simplify right side
    14,830.71x = 166,112,098.65
  5. Step 5: Solve for x
    x = 166,112,098.65/14,830.71
  6. Step 6: Final answer
    x = 11,200.55

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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.