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Finding the Fourth Proportional to 25,979, 35,851.02 and 14,203

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Solution

The fourth proportional to 25,979, 35,851.02 and 14,203 is: 19,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,979 : 35,851.02 = 14,203 : x
  2. Step 2: Convert to fraction form
    25,979/35,851.02 = 14,203/x
  3. Step 3: Cross multiply
    25,979x = 35,851.02 × 14,203
  4. Step 4: Simplify right side
    25,979x = 509,192,037.06
  5. Step 5: Solve for x
    x = 509,192,037.06/25,979
  6. Step 6: Final answer
    x = 19,600.14

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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.