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Finding the Fourth Proportional to 25,637.85, 35,380.34 and 14,307.84

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Solution

The fourth proportional to 25,637.85, 35,380.34 and 14,307.84 is: 19,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,637.85 : 35,380.34 = 14,307.84 : x
  2. Step 2: Convert to fraction form
    25,637.85/35,380.34 = 14,307.84/x
  3. Step 3: Cross multiply
    25,637.85x = 35,380.34 × 14,307.84
  4. Step 4: Simplify right side
    25,637.85x = 506,216,243.87
  5. Step 5: Solve for x
    x = 506,216,243.87/25,637.85
  6. Step 6: Final answer
    x = 19,744.88

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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.