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Finding the Fourth Proportional to 14,551.41, 20,083.74 and 9,506.94

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Solution

The fourth proportional to 14,551.41, 20,083.74 and 9,506.94 is: 13,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.41 : 20,083.74 = 9,506.94 : x
  2. Step 2: Convert to fraction form
    14,551.41/20,083.74 = 9,506.94/x
  3. Step 3: Cross multiply
    14,551.41x = 20,083.74 × 9,506.94
  4. Step 4: Simplify right side
    14,551.41x = 190,934,911.16
  5. Step 5: Solve for x
    x = 190,934,911.16/14,551.41
  6. Step 6: Final answer
    x = 13,121.40

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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.