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Finding the Fourth Proportional to 25,223.24, 37,834.90 and 8,583.40

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Solution

The fourth proportional to 25,223.24, 37,834.90 and 8,583.40 is: 12,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223.24 : 37,834.90 = 8,583.40 : x
  2. Step 2: Convert to fraction form
    25,223.24/37,834.90 = 8,583.40/x
  3. Step 3: Cross multiply
    25,223.24x = 37,834.90 × 8,583.40
  4. Step 4: Simplify right side
    25,223.24x = 324,752,080.66
  5. Step 5: Solve for x
    x = 324,752,080.66/25,223.24
  6. Step 6: Final answer
    x = 12,875.11

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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.