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Finding the Fourth Proportional to 23,223, 32,048.96 and 13,663.38

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Solution

The fourth proportional to 23,223, 32,048.96 and 13,663.38 is: 18,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223 : 32,048.96 = 13,663.38 : x
  2. Step 2: Convert to fraction form
    23,223/32,048.96 = 13,663.38/x
  3. Step 3: Cross multiply
    23,223x = 32,048.96 × 13,663.38
  4. Step 4: Simplify right side
    23,223x = 437,897,050.77
  5. Step 5: Solve for x
    x = 437,897,050.77/23,223
  6. Step 6: Final answer
    x = 18,856.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.