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Finding the Fourth Proportional to 25,078.71, 34,609.85 and 13,748.67

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Solution

The fourth proportional to 25,078.71, 34,609.85 and 13,748.67 is: 18,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,078.71 : 34,609.85 = 13,748.67 : x
  2. Step 2: Convert to fraction form
    25,078.71/34,609.85 = 13,748.67/x
  3. Step 3: Cross multiply
    25,078.71x = 34,609.85 × 13,748.67
  4. Step 4: Simplify right side
    25,078.71x = 475,839,389.21
  5. Step 5: Solve for x
    x = 475,839,389.21/25,078.71
  6. Step 6: Final answer
    x = 18,973.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.