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Finding the Fourth Proportional to 25,149.12, 37,723.53 and 6,429.12

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Solution

The fourth proportional to 25,149.12, 37,723.53 and 6,429.12 is: 9,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149.12 : 37,723.53 = 6,429.12 : x
  2. Step 2: Convert to fraction form
    25,149.12/37,723.53 = 6,429.12/x
  3. Step 3: Cross multiply
    25,149.12x = 37,723.53 × 6,429.12
  4. Step 4: Simplify right side
    25,149.12x = 242,529,218.55
  5. Step 5: Solve for x
    x = 242,529,218.55/25,149.12
  6. Step 6: Final answer
    x = 9,643.65

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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.