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Finding the Fourth Proportional to 25,683.74, 38,525.30 and 8,153.72

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Solution

The fourth proportional to 25,683.74, 38,525.30 and 8,153.72 is: 12,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,683.74 : 38,525.30 = 8,153.72 : x
  2. Step 2: Convert to fraction form
    25,683.74/38,525.30 = 8,153.72/x
  3. Step 3: Cross multiply
    25,683.74x = 38,525.30 × 8,153.72
  4. Step 4: Simplify right side
    25,683.74x = 314,124,509.12
  5. Step 5: Solve for x
    x = 314,124,509.12/25,683.74
  6. Step 6: Final answer
    x = 12,230.48

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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.