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Finding the Fourth Proportional to 14,263.99, 19,684.38 and 8,295.96

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Solution

The fourth proportional to 14,263.99, 19,684.38 and 8,295.96 is: 11,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.99 : 19,684.38 = 8,295.96 : x
  2. Step 2: Convert to fraction form
    14,263.99/19,684.38 = 8,295.96/x
  3. Step 3: Cross multiply
    14,263.99x = 19,684.38 × 8,295.96
  4. Step 4: Simplify right side
    14,263.99x = 163,300,829.10
  5. Step 5: Solve for x
    x = 163,300,829.10/14,263.99
  6. Step 6: Final answer
    x = 11,448.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.