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Finding the Fourth Proportional to 14,506.02, 20,017.17 and 8,216.82

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Solution

The fourth proportional to 14,506.02, 20,017.17 and 8,216.82 is: 11,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.02 : 20,017.17 = 8,216.82 : x
  2. Step 2: Convert to fraction form
    14,506.02/20,017.17 = 8,216.82/x
  3. Step 3: Cross multiply
    14,506.02x = 20,017.17 × 8,216.82
  4. Step 4: Simplify right side
    14,506.02x = 164,477,482.80
  5. Step 5: Solve for x
    x = 164,477,482.80/14,506.02
  6. Step 6: Final answer
    x = 11,338.57

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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.