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Finding the Fourth Proportional to 25,697.88, 35,461.68 and 14,367.84

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Solution

The fourth proportional to 25,697.88, 35,461.68 and 14,367.84 is: 19,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.88 : 35,461.68 = 14,367.84 : x
  2. Step 2: Convert to fraction form
    25,697.88/35,461.68 = 14,367.84/x
  3. Step 3: Cross multiply
    25,697.88x = 35,461.68 × 14,367.84
  4. Step 4: Simplify right side
    25,697.88x = 509,507,744.37
  5. Step 5: Solve for x
    x = 509,507,744.37/25,697.88
  6. Step 6: Final answer
    x = 19,826.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.