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Finding the Fourth Proportional to 25,175.18, 37,760.32 and 7,645.16

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Solution

The fourth proportional to 25,175.18, 37,760.32 and 7,645.16 is: 11,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.18 : 37,760.32 = 7,645.16 : x
  2. Step 2: Convert to fraction form
    25,175.18/37,760.32 = 7,645.16/x
  3. Step 3: Cross multiply
    25,175.18x = 37,760.32 × 7,645.16
  4. Step 4: Simplify right side
    25,175.18x = 288,683,461.02
  5. Step 5: Solve for x
    x = 288,683,461.02/25,175.18
  6. Step 6: Final answer
    x = 11,466.99

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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.