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Finding the Fourth Proportional to 25,216.57, 37,827.58 and 9,429.16

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Solution

The fourth proportional to 25,216.57, 37,827.58 and 9,429.16 is: 14,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,216.57 : 37,827.58 = 9,429.16 : x
  2. Step 2: Convert to fraction form
    25,216.57/37,827.58 = 9,429.16/x
  3. Step 3: Cross multiply
    25,216.57x = 37,827.58 × 9,429.16
  4. Step 4: Simplify right side
    25,216.57x = 356,682,301.22
  5. Step 5: Solve for x
    x = 356,682,301.22/25,216.57
  6. Step 6: Final answer
    x = 14,144.76

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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.