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Finding the Fourth Proportional to 25,307.26, 37,957 and 8,440.57

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Solution

The fourth proportional to 25,307.26, 37,957 and 8,440.57 is: 12,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,307.26 : 37,957 = 8,440.57 : x
  2. Step 2: Convert to fraction form
    25,307.26/37,957 = 8,440.57/x
  3. Step 3: Cross multiply
    25,307.26x = 37,957 × 8,440.57
  4. Step 4: Simplify right side
    25,307.26x = 320,378,525.71
  5. Step 5: Solve for x
    x = 320,378,525.71/25,307.26
  6. Step 6: Final answer
    x = 12,659.55

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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.