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Finding the Fourth Proportional to 16,005.40, 23,975.70 and 9,071.80

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Solution

The fourth proportional to 16,005.40, 23,975.70 and 9,071.80 is: 13,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.40 : 23,975.70 = 9,071.80 : x
  2. Step 2: Convert to fraction form
    16,005.40/23,975.70 = 9,071.80/x
  3. Step 3: Cross multiply
    16,005.40x = 23,975.70 × 9,071.80
  4. Step 4: Simplify right side
    16,005.40x = 217,502,755.26
  5. Step 5: Solve for x
    x = 217,502,755.26/16,005.40
  6. Step 6: Final answer
    x = 13,589.34

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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.