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Finding the Fourth Proportional to 25,704.77, 35,475.89 and 14,374.90

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Solution

The fourth proportional to 25,704.77, 35,475.89 and 14,374.90 is: 19,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704.77 : 35,475.89 = 14,374.90 : x
  2. Step 2: Convert to fraction form
    25,704.77/35,475.89 = 14,374.90/x
  3. Step 3: Cross multiply
    25,704.77x = 35,475.89 × 14,374.90
  4. Step 4: Simplify right side
    25,704.77x = 509,962,299.29
  5. Step 5: Solve for x
    x = 509,962,299.29/25,704.77
  6. Step 6: Final answer
    x = 19,839.21

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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.