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Finding the Fourth Proportional to 14,506.66, 20,017.02 and 8,219.44

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Solution

The fourth proportional to 14,506.66, 20,017.02 and 8,219.44 is: 11,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.66 : 20,017.02 = 8,219.44 : x
  2. Step 2: Convert to fraction form
    14,506.66/20,017.02 = 8,219.44/x
  3. Step 3: Cross multiply
    14,506.66x = 20,017.02 × 8,219.44
  4. Step 4: Simplify right side
    14,506.66x = 164,528,694.87
  5. Step 5: Solve for x
    x = 164,528,694.87/14,506.66
  6. Step 6: Final answer
    x = 11,341.60

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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.