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Finding the Fourth Proportional to 14,471.40, 19,971.32 and 8,097.62

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Solution

The fourth proportional to 14,471.40, 19,971.32 and 8,097.62 is: 11,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.40 : 19,971.32 = 8,097.62 : x
  2. Step 2: Convert to fraction form
    14,471.40/19,971.32 = 8,097.62/x
  3. Step 3: Cross multiply
    14,471.40x = 19,971.32 × 8,097.62
  4. Step 4: Simplify right side
    14,471.40x = 161,720,160.26
  5. Step 5: Solve for x
    x = 161,720,160.26/14,471.40
  6. Step 6: Final answer
    x = 11,175.16

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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.