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Finding the Fourth Proportional to 25,214, 34,795.32 and 14,035.76

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Solution

The fourth proportional to 25,214, 34,795.32 and 14,035.76 is: 19,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214 : 34,795.32 = 14,035.76 : x
  2. Step 2: Convert to fraction form
    25,214/34,795.32 = 14,035.76/x
  3. Step 3: Cross multiply
    25,214x = 34,795.32 × 14,035.76
  4. Step 4: Simplify right side
    25,214x = 488,378,760.64
  5. Step 5: Solve for x
    x = 488,378,760.64/25,214
  6. Step 6: Final answer
    x = 19,369.35

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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.