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Finding the Fourth Proportional to 14,368.56, 19,828.40 and 8,082

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Solution

The fourth proportional to 14,368.56, 19,828.40 and 8,082 is: 11,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.56 : 19,828.40 = 8,082 : x
  2. Step 2: Convert to fraction form
    14,368.56/19,828.40 = 8,082/x
  3. Step 3: Cross multiply
    14,368.56x = 19,828.40 × 8,082
  4. Step 4: Simplify right side
    14,368.56x = 160,253,128.80
  5. Step 5: Solve for x
    x = 160,253,128.80/14,368.56
  6. Step 6: Final answer
    x = 11,153.04

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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.