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Finding the Fourth Proportional to 14,954.09, 22,434.36 and 7,461.68

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Solution

The fourth proportional to 14,954.09, 22,434.36 and 7,461.68 is: 11,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,954.09 : 22,434.36 = 7,461.68 : x
  2. Step 2: Convert to fraction form
    14,954.09/22,434.36 = 7,461.68/x
  3. Step 3: Cross multiply
    14,954.09x = 22,434.36 × 7,461.68
  4. Step 4: Simplify right side
    14,954.09x = 167,398,006.62
  5. Step 5: Solve for x
    x = 167,398,006.62/14,954.09
  6. Step 6: Final answer
    x = 11,194.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.