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Finding the Fourth Proportional to 14,385.26, 19,852.03 and 8,097.86

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Solution

The fourth proportional to 14,385.26, 19,852.03 and 8,097.86 is: 11,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.26 : 19,852.03 = 8,097.86 : x
  2. Step 2: Convert to fraction form
    14,385.26/19,852.03 = 8,097.86/x
  3. Step 3: Cross multiply
    14,385.26x = 19,852.03 × 8,097.86
  4. Step 4: Simplify right side
    14,385.26x = 160,758,959.66
  5. Step 5: Solve for x
    x = 160,758,959.66/14,385.26
  6. Step 6: Final answer
    x = 11,175.26

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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.