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Finding the Fourth Proportional to 12,670.24, 19,006.32 and 3,436

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Solution

The fourth proportional to 12,670.24, 19,006.32 and 3,436 is: 5,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.24 : 19,006.32 = 3,436 : x
  2. Step 2: Convert to fraction form
    12,670.24/19,006.32 = 3,436/x
  3. Step 3: Cross multiply
    12,670.24x = 19,006.32 × 3,436
  4. Step 4: Simplify right side
    12,670.24x = 65,305,715.52
  5. Step 5: Solve for x
    x = 65,305,715.52/12,670.24
  6. Step 6: Final answer
    x = 5,154.26

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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.