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Finding the Fourth Proportional to 14,385, 19,852.38 and 8,097.24

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Solution

The fourth proportional to 14,385, 19,852.38 and 8,097.24 is: 11,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385 : 19,852.38 = 8,097.24 : x
  2. Step 2: Convert to fraction form
    14,385/19,852.38 = 8,097.24/x
  3. Step 3: Cross multiply
    14,385x = 19,852.38 × 8,097.24
  4. Step 4: Simplify right side
    14,385x = 160,749,485.43
  5. Step 5: Solve for x
    x = 160,749,485.43/14,385
  6. Step 6: Final answer
    x = 11,174.80

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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.