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Finding the Fourth Proportional to 14,385.12, 19,851.42 and 8,097.48

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Solution

The fourth proportional to 14,385.12, 19,851.42 and 8,097.48 is: 11,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.12 : 19,851.42 = 8,097.48 : x
  2. Step 2: Convert to fraction form
    14,385.12/19,851.42 = 8,097.48/x
  3. Step 3: Cross multiply
    14,385.12x = 19,851.42 × 8,097.48
  4. Step 4: Simplify right side
    14,385.12x = 160,746,476.42
  5. Step 5: Solve for x
    x = 160,746,476.42/14,385.12
  6. Step 6: Final answer
    x = 11,174.50

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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.