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Finding the Fourth Proportional to 25,286, 37,946.02 and 15,162.62

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Solution

The fourth proportional to 25,286, 37,946.02 and 15,162.62 is: 22,754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,286 : 37,946.02 = 15,162.62 : x
  2. Step 2: Convert to fraction form
    25,286/37,946.02 = 15,162.62/x
  3. Step 3: Cross multiply
    25,286x = 37,946.02 × 15,162.62
  4. Step 4: Simplify right side
    25,286x = 575,361,081.77
  5. Step 5: Solve for x
    x = 575,361,081.77/25,286
  6. Step 6: Final answer
    x = 22,754.14

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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.