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Finding the Fourth Proportional to 23,693.38, 35,538.63 and 7,053.46

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Solution

The fourth proportional to 23,693.38, 35,538.63 and 7,053.46 is: 10,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.38 : 35,538.63 = 7,053.46 : x
  2. Step 2: Convert to fraction form
    23,693.38/35,538.63 = 7,053.46/x
  3. Step 3: Cross multiply
    23,693.38x = 35,538.63 × 7,053.46
  4. Step 4: Simplify right side
    23,693.38x = 250,670,305.16
  5. Step 5: Solve for x
    x = 250,670,305.16/23,693.38
  6. Step 6: Final answer
    x = 10,579.76

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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.