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Finding the Fourth Proportional to 25,698.83, 38,583.21 and 14,462.11

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Solution

The fourth proportional to 25,698.83, 38,583.21 and 14,462.11 is: 21,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698.83 : 38,583.21 = 14,462.11 : x
  2. Step 2: Convert to fraction form
    25,698.83/38,583.21 = 14,462.11/x
  3. Step 3: Cross multiply
    25,698.83x = 38,583.21 × 14,462.11
  4. Step 4: Simplify right side
    25,698.83x = 557,994,627.17
  5. Step 5: Solve for x
    x = 557,994,627.17/25,698.83
  6. Step 6: Final answer
    x = 21,712.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.