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Finding the Fourth Proportional to 14,385.90, 19,847.90 and 8,097.06

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Solution

The fourth proportional to 14,385.90, 19,847.90 and 8,097.06 is: 11,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385.90 : 19,847.90 = 8,097.06 : x
  2. Step 2: Convert to fraction form
    14,385.90/19,847.90 = 8,097.06/x
  3. Step 3: Cross multiply
    14,385.90x = 19,847.90 × 8,097.06
  4. Step 4: Simplify right side
    14,385.90x = 160,709,637.17
  5. Step 5: Solve for x
    x = 160,709,637.17/14,385.90
  6. Step 6: Final answer
    x = 11,171.33

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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.