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Finding the Fourth Proportional to 25,435.84, 35,102.84 and 14,824.84

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Solution

The fourth proportional to 25,435.84, 35,102.84 and 14,824.84 is: 20,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.84 : 35,102.84 = 14,824.84 : x
  2. Step 2: Convert to fraction form
    25,435.84/35,102.84 = 14,824.84/x
  3. Step 3: Cross multiply
    25,435.84x = 35,102.84 × 14,824.84
  4. Step 4: Simplify right side
    25,435.84x = 520,393,986.55
  5. Step 5: Solve for x
    x = 520,393,986.55/25,435.84
  6. Step 6: Final answer
    x = 20,459.08

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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.