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Finding the Fourth Proportional to 14,837.70, 22,256.55 and 7,839.30

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Solution

The fourth proportional to 14,837.70, 22,256.55 and 7,839.30 is: 11,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,837.70 : 22,256.55 = 7,839.30 : x
  2. Step 2: Convert to fraction form
    14,837.70/22,256.55 = 7,839.30/x
  3. Step 3: Cross multiply
    14,837.70x = 22,256.55 × 7,839.30
  4. Step 4: Simplify right side
    14,837.70x = 174,475,772.42
  5. Step 5: Solve for x
    x = 174,475,772.42/14,837.70
  6. Step 6: Final answer
    x = 11,758.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.