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Finding the Fourth Proportional to 25,211.80, 37,806.54 and 9,618.52

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Solution

The fourth proportional to 25,211.80, 37,806.54 and 9,618.52 is: 14,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211.80 : 37,806.54 = 9,618.52 : x
  2. Step 2: Convert to fraction form
    25,211.80/37,806.54 = 9,618.52/x
  3. Step 3: Cross multiply
    25,211.80x = 37,806.54 × 9,618.52
  4. Step 4: Simplify right side
    25,211.80x = 363,642,961.12
  5. Step 5: Solve for x
    x = 363,642,961.12/25,211.80
  6. Step 6: Final answer
    x = 14,423.52

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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.