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Finding the Fourth Proportional to 14,382.74, 19,843.53 and 8,715.69

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Solution

The fourth proportional to 14,382.74, 19,843.53 and 8,715.69 is: 12,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.74 : 19,843.53 = 8,715.69 : x
  2. Step 2: Convert to fraction form
    14,382.74/19,843.53 = 8,715.69/x
  3. Step 3: Cross multiply
    14,382.74x = 19,843.53 × 8,715.69
  4. Step 4: Simplify right side
    14,382.74x = 172,950,055.99
  5. Step 5: Solve for x
    x = 172,950,055.99/14,382.74
  6. Step 6: Final answer
    x = 12,024.84

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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.