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Finding the Fourth Proportional to 23,536, 32,482.56 and 13,600

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Solution

The fourth proportional to 23,536, 32,482.56 and 13,600 is: 18,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536 : 32,482.56 = 13,600 : x
  2. Step 2: Convert to fraction form
    23,536/32,482.56 = 13,600/x
  3. Step 3: Cross multiply
    23,536x = 32,482.56 × 13,600
  4. Step 4: Simplify right side
    23,536x = 441,762,816
  5. Step 5: Solve for x
    x = 441,762,816/23,536
  6. Step 6: Final answer
    x = 18,769.66

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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.