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Finding the Fourth Proportional to 14,356.28, 21,538.74 and 5,123

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Solution

The fourth proportional to 14,356.28, 21,538.74 and 5,123 is: 7,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.28 : 21,538.74 = 5,123 : x
  2. Step 2: Convert to fraction form
    14,356.28/21,538.74 = 5,123/x
  3. Step 3: Cross multiply
    14,356.28x = 21,538.74 × 5,123
  4. Step 4: Simplify right side
    14,356.28x = 110,342,965.02
  5. Step 5: Solve for x
    x = 110,342,965.02/14,356.28
  6. Step 6: Final answer
    x = 7,686.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.