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Finding the Fourth Proportional to 14,406.54, 19,879.47 and 8,816.46

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Solution

The fourth proportional to 14,406.54, 19,879.47 and 8,816.46 is: 12,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.54 : 19,879.47 = 8,816.46 : x
  2. Step 2: Convert to fraction form
    14,406.54/19,879.47 = 8,816.46/x
  3. Step 3: Cross multiply
    14,406.54x = 19,879.47 × 8,816.46
  4. Step 4: Simplify right side
    14,406.54x = 175,266,552.08
  5. Step 5: Solve for x
    x = 175,266,552.08/14,406.54
  6. Step 6: Final answer
    x = 12,165.76

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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.