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Finding the Fourth Proportional to 25,097.40, 34,630.58 and 14,340.40

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Solution

The fourth proportional to 25,097.40, 34,630.58 and 14,340.40 is: 19,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.40 : 34,630.58 = 14,340.40 : x
  2. Step 2: Convert to fraction form
    25,097.40/34,630.58 = 14,340.40/x
  3. Step 3: Cross multiply
    25,097.40x = 34,630.58 × 14,340.40
  4. Step 4: Simplify right side
    25,097.40x = 496,616,369.43
  5. Step 5: Solve for x
    x = 496,616,369.43/25,097.40
  6. Step 6: Final answer
    x = 19,787.56

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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.