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Finding the Fourth Proportional to 25,797.60, 35,590.08 and 16,842

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Solution

The fourth proportional to 25,797.60, 35,590.08 and 16,842 is: 23,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.60 : 35,590.08 = 16,842 : x
  2. Step 2: Convert to fraction form
    25,797.60/35,590.08 = 16,842/x
  3. Step 3: Cross multiply
    25,797.60x = 35,590.08 × 16,842
  4. Step 4: Simplify right side
    25,797.60x = 599,408,127.36
  5. Step 5: Solve for x
    x = 599,408,127.36/25,797.60
  6. Step 6: Final answer
    x = 23,235.03

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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.