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Finding the Fourth Proportional to 14,024.32, 19,353.52 and 7,736.69

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Solution

The fourth proportional to 14,024.32, 19,353.52 and 7,736.69 is: 10,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.32 : 19,353.52 = 7,736.69 : x
  2. Step 2: Convert to fraction form
    14,024.32/19,353.52 = 7,736.69/x
  3. Step 3: Cross multiply
    14,024.32x = 19,353.52 × 7,736.69
  4. Step 4: Simplify right side
    14,024.32x = 149,732,184.65
  5. Step 5: Solve for x
    x = 149,732,184.65/14,024.32
  6. Step 6: Final answer
    x = 10,676.61

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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.