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Finding the Fourth Proportional to 23,699.37, 32,705.13 and 13,089

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Solution

The fourth proportional to 23,699.37, 32,705.13 and 13,089 is: 18,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699.37 : 32,705.13 = 13,089 : x
  2. Step 2: Convert to fraction form
    23,699.37/32,705.13 = 13,089/x
  3. Step 3: Cross multiply
    23,699.37x = 32,705.13 × 13,089
  4. Step 4: Simplify right side
    23,699.37x = 428,077,446.57
  5. Step 5: Solve for x
    x = 428,077,446.57/23,699.37
  6. Step 6: Final answer
    x = 18,062.82

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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.