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Finding the Fourth Proportional to 14,334.04, 19,781 and 8,046.46

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Solution

The fourth proportional to 14,334.04, 19,781 and 8,046.46 is: 11,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.04 : 19,781 = 8,046.46 : x
  2. Step 2: Convert to fraction form
    14,334.04/19,781 = 8,046.46/x
  3. Step 3: Cross multiply
    14,334.04x = 19,781 × 8,046.46
  4. Step 4: Simplify right side
    14,334.04x = 159,167,025.26
  5. Step 5: Solve for x
    x = 159,167,025.26/14,334.04
  6. Step 6: Final answer
    x = 11,104.13

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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.