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Finding the Fourth Proportional to 23,686.68, 32,688.42 and 13,076.22

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Solution

The fourth proportional to 23,686.68, 32,688.42 and 13,076.22 is: 18,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.68 : 32,688.42 = 13,076.22 : x
  2. Step 2: Convert to fraction form
    23,686.68/32,688.42 = 13,076.22/x
  3. Step 3: Cross multiply
    23,686.68x = 32,688.42 × 13,076.22
  4. Step 4: Simplify right side
    23,686.68x = 427,440,971.37
  5. Step 5: Solve for x
    x = 427,440,971.37/23,686.68
  6. Step 6: Final answer
    x = 18,045.63

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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.