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Finding the Fourth Proportional to 24,790.08, 37,185.12 and 11,640

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Solution

The fourth proportional to 24,790.08, 37,185.12 and 11,640 is: 17,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,790.08 : 37,185.12 = 11,640 : x
  2. Step 2: Convert to fraction form
    24,790.08/37,185.12 = 11,640/x
  3. Step 3: Cross multiply
    24,790.08x = 37,185.12 × 11,640
  4. Step 4: Simplify right side
    24,790.08x = 432,834,796.80
  5. Step 5: Solve for x
    x = 432,834,796.80/24,790.08
  6. Step 6: Final answer
    x = 17,460

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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.