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Finding the Fourth Proportional to 25,801.21, 35,590.54 and 16,225.89

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Solution

The fourth proportional to 25,801.21, 35,590.54 and 16,225.89 is: 22,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,801.21 : 35,590.54 = 16,225.89 : x
  2. Step 2: Convert to fraction form
    25,801.21/35,590.54 = 16,225.89/x
  3. Step 3: Cross multiply
    25,801.21x = 35,590.54 × 16,225.89
  4. Step 4: Simplify right side
    25,801.21x = 577,488,343.77
  5. Step 5: Solve for x
    x = 577,488,343.77/25,801.21
  6. Step 6: Final answer
    x = 22,382.22

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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.