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Finding the Fourth Proportional to 14,154.96, 21,226.14 and 5,828.16

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Solution

The fourth proportional to 14,154.96, 21,226.14 and 5,828.16 is: 8,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.96 : 21,226.14 = 5,828.16 : x
  2. Step 2: Convert to fraction form
    14,154.96/21,226.14 = 5,828.16/x
  3. Step 3: Cross multiply
    14,154.96x = 21,226.14 × 5,828.16
  4. Step 4: Simplify right side
    14,154.96x = 123,709,340.10
  5. Step 5: Solve for x
    x = 123,709,340.10/14,154.96
  6. Step 6: Final answer
    x = 8,739.65

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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.