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Finding the Fourth Proportional to 14,128.86, 19,490.46 and 8,382.98

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Solution

The fourth proportional to 14,128.86, 19,490.46 and 8,382.98 is: 11,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.86 : 19,490.46 = 8,382.98 : x
  2. Step 2: Convert to fraction form
    14,128.86/19,490.46 = 8,382.98/x
  3. Step 3: Cross multiply
    14,128.86x = 19,490.46 × 8,382.98
  4. Step 4: Simplify right side
    14,128.86x = 163,388,136.37
  5. Step 5: Solve for x
    x = 163,388,136.37/14,128.86
  6. Step 6: Final answer
    x = 11,564.14

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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.