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Finding the Fourth Proportional to 14,082.50, 19,436.23 and 8,117.64

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Solution

The fourth proportional to 14,082.50, 19,436.23 and 8,117.64 is: 11,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.50 : 19,436.23 = 8,117.64 : x
  2. Step 2: Convert to fraction form
    14,082.50/19,436.23 = 8,117.64/x
  3. Step 3: Cross multiply
    14,082.50x = 19,436.23 × 8,117.64
  4. Step 4: Simplify right side
    14,082.50x = 157,776,318.10
  5. Step 5: Solve for x
    x = 157,776,318.10/14,082.50
  6. Step 6: Final answer
    x = 11,203.72

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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.