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Finding the Fourth Proportional to 14,534.38, 21,802.90 and 4,671.22

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Solution

The fourth proportional to 14,534.38, 21,802.90 and 4,671.22 is: 7,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.38 : 21,802.90 = 4,671.22 : x
  2. Step 2: Convert to fraction form
    14,534.38/21,802.90 = 4,671.22/x
  3. Step 3: Cross multiply
    14,534.38x = 21,802.90 × 4,671.22
  4. Step 4: Simplify right side
    14,534.38x = 101,846,142.54
  5. Step 5: Solve for x
    x = 101,846,142.54/14,534.38
  6. Step 6: Final answer
    x = 7,007.26

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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.