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Finding the Fourth Proportional to 23,776.76, 32,810.54 and 13,165.80

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Solution

The fourth proportional to 23,776.76, 32,810.54 and 13,165.80 is: 18,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.76 : 32,810.54 = 13,165.80 : x
  2. Step 2: Convert to fraction form
    23,776.76/32,810.54 = 13,165.80/x
  3. Step 3: Cross multiply
    23,776.76x = 32,810.54 × 13,165.80
  4. Step 4: Simplify right side
    23,776.76x = 431,977,007.53
  5. Step 5: Solve for x
    x = 431,977,007.53/23,776.76
  6. Step 6: Final answer
    x = 18,168.03

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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.