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Finding the Fourth Proportional to 12,007.23, 16,572.14 and 7,162.26

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Solution

The fourth proportional to 12,007.23, 16,572.14 and 7,162.26 is: 9,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.23 : 16,572.14 = 7,162.26 : x
  2. Step 2: Convert to fraction form
    12,007.23/16,572.14 = 7,162.26/x
  3. Step 3: Cross multiply
    12,007.23x = 16,572.14 × 7,162.26
  4. Step 4: Simplify right side
    12,007.23x = 118,693,939.63
  5. Step 5: Solve for x
    x = 118,693,939.63/12,007.23
  6. Step 6: Final answer
    x = 9,885.21

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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.