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Finding the Fourth Proportional to 25,369, 35,009.22 and 14,191

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Solution

The fourth proportional to 25,369, 35,009.22 and 14,191 is: 19,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,369 : 35,009.22 = 14,191 : x
  2. Step 2: Convert to fraction form
    25,369/35,009.22 = 14,191/x
  3. Step 3: Cross multiply
    25,369x = 35,009.22 × 14,191
  4. Step 4: Simplify right side
    25,369x = 496,815,841.02
  5. Step 5: Solve for x
    x = 496,815,841.02/25,369
  6. Step 6: Final answer
    x = 19,583.58

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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.