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Finding the Fourth Proportional to 25,205.88, 37,808.94 and 10,213.29

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Solution

The fourth proportional to 25,205.88, 37,808.94 and 10,213.29 is: 15,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.88 : 37,808.94 = 10,213.29 : x
  2. Step 2: Convert to fraction form
    25,205.88/37,808.94 = 10,213.29/x
  3. Step 3: Cross multiply
    25,205.88x = 37,808.94 × 10,213.29
  4. Step 4: Simplify right side
    25,205.88x = 386,153,668.81
  5. Step 5: Solve for x
    x = 386,153,668.81/25,205.88
  6. Step 6: Final answer
    x = 15,319.98

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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.