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Finding the Fourth Proportional to 14,385.09, 19,851.89 and 8,097.47

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Solution

The fourth proportional to 14,385.09, 19,851.89 and 8,097.47 is: 11,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.09 : 19,851.89 = 8,097.47 : x
  2. Step 2: Convert to fraction form
    14,385.09/19,851.89 = 8,097.47/x
  3. Step 3: Cross multiply
    14,385.09x = 19,851.89 × 8,097.47
  4. Step 4: Simplify right side
    14,385.09x = 160,750,018.42
  5. Step 5: Solve for x
    x = 160,750,018.42/14,385.09
  6. Step 6: Final answer
    x = 11,174.76

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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.