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Finding the Fourth Proportional to 25,155.84, 34,709.76 and 13,977.60

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Solution

The fourth proportional to 25,155.84, 34,709.76 and 13,977.60 is: 19,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,155.84 : 34,709.76 = 13,977.60 : x
  2. Step 2: Convert to fraction form
    25,155.84/34,709.76 = 13,977.60/x
  3. Step 3: Cross multiply
    25,155.84x = 34,709.76 × 13,977.60
  4. Step 4: Simplify right side
    25,155.84x = 485,159,141.38
  5. Step 5: Solve for x
    x = 485,159,141.38/25,155.84
  6. Step 6: Final answer
    x = 19,286.14

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Why These Related Problems?

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