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Finding the Fourth Proportional to 15,643.84, 23,464.38 and 5,783.20

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Solution

The fourth proportional to 15,643.84, 23,464.38 and 5,783.20 is: 8,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.84 : 23,464.38 = 5,783.20 : x
  2. Step 2: Convert to fraction form
    15,643.84/23,464.38 = 5,783.20/x
  3. Step 3: Cross multiply
    15,643.84x = 23,464.38 × 5,783.20
  4. Step 4: Simplify right side
    15,643.84x = 135,699,202.42
  5. Step 5: Solve for x
    x = 135,699,202.42/15,643.84
  6. Step 6: Final answer
    x = 8,674.29

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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.