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Finding the Fourth Proportional to 23,500, 32,433.84 and 13,569.76

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Solution

The fourth proportional to 23,500, 32,433.84 and 13,569.76 is: 18,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500 : 32,433.84 = 13,569.76 : x
  2. Step 2: Convert to fraction form
    23,500/32,433.84 = 13,569.76/x
  3. Step 3: Cross multiply
    23,500x = 32,433.84 × 13,569.76
  4. Step 4: Simplify right side
    23,500x = 440,119,424.68
  5. Step 5: Solve for x
    x = 440,119,424.68/23,500
  6. Step 6: Final answer
    x = 18,728.49

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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.