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Finding the Fourth Proportional to 25,290.14, 37,914.62 and 9,486.29

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Solution

The fourth proportional to 25,290.14, 37,914.62 and 9,486.29 is: 14,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,290.14 : 37,914.62 = 9,486.29 : x
  2. Step 2: Convert to fraction form
    25,290.14/37,914.62 = 9,486.29/x
  3. Step 3: Cross multiply
    25,290.14x = 37,914.62 × 9,486.29
  4. Step 4: Simplify right side
    25,290.14x = 359,669,127.91
  5. Step 5: Solve for x
    x = 359,669,127.91/25,290.14
  6. Step 6: Final answer
    x = 14,221.72

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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.