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Finding the Fourth Proportional to 14,105.25, 19,465.35 and 7,817.63

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Solution

The fourth proportional to 14,105.25, 19,465.35 and 7,817.63 is: 10,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.25 : 19,465.35 = 7,817.63 : x
  2. Step 2: Convert to fraction form
    14,105.25/19,465.35 = 7,817.63/x
  3. Step 3: Cross multiply
    14,105.25x = 19,465.35 × 7,817.63
  4. Step 4: Simplify right side
    14,105.25x = 152,172,777.48
  5. Step 5: Solve for x
    x = 152,172,777.48/14,105.25
  6. Step 6: Final answer
    x = 10,788.38

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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.