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Finding the Fourth Proportional to 14,466.41, 21,684.73 and 6,574.42

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Solution

The fourth proportional to 14,466.41, 21,684.73 and 6,574.42 is: 9,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.41 : 21,684.73 = 6,574.42 : x
  2. Step 2: Convert to fraction form
    14,466.41/21,684.73 = 6,574.42/x
  3. Step 3: Cross multiply
    14,466.41x = 21,684.73 × 6,574.42
  4. Step 4: Simplify right side
    14,466.41x = 142,564,414.18
  5. Step 5: Solve for x
    x = 142,564,414.18/14,466.41
  6. Step 6: Final answer
    x = 9,854.86

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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.