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Finding the Fourth Proportional to 25,206, 34,784.37 and 14,028

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Solution

The fourth proportional to 25,206, 34,784.37 and 14,028 is: 19,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206 : 34,784.37 = 14,028 : x
  2. Step 2: Convert to fraction form
    25,206/34,784.37 = 14,028/x
  3. Step 3: Cross multiply
    25,206x = 34,784.37 × 14,028
  4. Step 4: Simplify right side
    25,206x = 487,955,142.36
  5. Step 5: Solve for x
    x = 487,955,142.36/25,206
  6. Step 6: Final answer
    x = 19,358.69

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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.