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Finding the Fourth Proportional to 10,647.45, 14,682.47 and 10,406.07

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Solution

The fourth proportional to 10,647.45, 14,682.47 and 10,406.07 is: 14,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.45 : 14,682.47 = 10,406.07 : x
  2. Step 2: Convert to fraction form
    10,647.45/14,682.47 = 10,406.07/x
  3. Step 3: Cross multiply
    10,647.45x = 14,682.47 × 10,406.07
  4. Step 4: Simplify right side
    10,647.45x = 152,786,758.56
  5. Step 5: Solve for x
    x = 152,786,758.56/10,647.45
  6. Step 6: Final answer
    x = 14,349.61

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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.