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Finding the Fourth Proportional to 14,366.24, 19,828.64 and 8,400.80

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Solution

The fourth proportional to 14,366.24, 19,828.64 and 8,400.80 is: 11,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.24 : 19,828.64 = 8,400.80 : x
  2. Step 2: Convert to fraction form
    14,366.24/19,828.64 = 8,400.80/x
  3. Step 3: Cross multiply
    14,366.24x = 19,828.64 × 8,400.80
  4. Step 4: Simplify right side
    14,366.24x = 166,576,438.91
  5. Step 5: Solve for x
    x = 166,576,438.91/14,366.24
  6. Step 6: Final answer
    x = 11,594.99

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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.