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Finding the Fourth Proportional to 23,047.64, 31,814.66 and 18,013.47

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Solution

The fourth proportional to 23,047.64, 31,814.66 and 18,013.47 is: 24,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.64 : 31,814.66 = 18,013.47 : x
  2. Step 2: Convert to fraction form
    23,047.64/31,814.66 = 18,013.47/x
  3. Step 3: Cross multiply
    23,047.64x = 31,814.66 × 18,013.47
  4. Step 4: Simplify right side
    23,047.64x = 573,092,333.40
  5. Step 5: Solve for x
    x = 573,092,333.40/23,047.64
  6. Step 6: Final answer
    x = 24,865.56

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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.