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Finding the Fourth Proportional to 25,366, 35,005.20 and 14,188

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Solution

The fourth proportional to 25,366, 35,005.20 and 14,188 is: 19,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,366 : 35,005.20 = 14,188 : x
  2. Step 2: Convert to fraction form
    25,366/35,005.20 = 14,188/x
  3. Step 3: Cross multiply
    25,366x = 35,005.20 × 14,188
  4. Step 4: Simplify right side
    25,366x = 496,653,777.60
  5. Step 5: Solve for x
    x = 496,653,777.60/25,366
  6. Step 6: Final answer
    x = 19,579.51

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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.