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Finding the Fourth Proportional to 12,902.38, 19,354 and 4,583.05

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Solution

The fourth proportional to 12,902.38, 19,354 and 4,583.05 is: 6,874.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.38 : 19,354 = 4,583.05 : x
  2. Step 2: Convert to fraction form
    12,902.38/19,354 = 4,583.05/x
  3. Step 3: Cross multiply
    12,902.38x = 19,354 × 4,583.05
  4. Step 4: Simplify right side
    12,902.38x = 88,700,349.70
  5. Step 5: Solve for x
    x = 88,700,349.70/12,902.38
  6. Step 6: Final answer
    x = 6,874.73

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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.