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Finding the Fourth Proportional to 25,589.76, 35,313.32 and 14,259.20

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Solution

The fourth proportional to 25,589.76, 35,313.32 and 14,259.20 is: 19,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.76 : 35,313.32 = 14,259.20 : x
  2. Step 2: Convert to fraction form
    25,589.76/35,313.32 = 14,259.20/x
  3. Step 3: Cross multiply
    25,589.76x = 35,313.32 × 14,259.20
  4. Step 4: Simplify right side
    25,589.76x = 503,539,692.54
  5. Step 5: Solve for x
    x = 503,539,692.54/25,589.76
  6. Step 6: Final answer
    x = 19,677.39

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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.