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Finding the Fourth Proportional to 25,794.72, 35,595.36 and 14,616

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Solution

The fourth proportional to 25,794.72, 35,595.36 and 14,616 is: 20,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.72 : 35,595.36 = 14,616 : x
  2. Step 2: Convert to fraction form
    25,794.72/35,595.36 = 14,616/x
  3. Step 3: Cross multiply
    25,794.72x = 35,595.36 × 14,616
  4. Step 4: Simplify right side
    25,794.72x = 520,261,781.76
  5. Step 5: Solve for x
    x = 520,261,781.76/25,794.72
  6. Step 6: Final answer
    x = 20,169.31

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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.