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Finding the Fourth Proportional to 23,783.34, 32,820.99 and 13,172.97

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Solution

The fourth proportional to 23,783.34, 32,820.99 and 13,172.97 is: 18,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.34 : 32,820.99 = 13,172.97 : x
  2. Step 2: Convert to fraction form
    23,783.34/32,820.99 = 13,172.97/x
  3. Step 3: Cross multiply
    23,783.34x = 32,820.99 × 13,172.97
  4. Step 4: Simplify right side
    23,783.34x = 432,349,916.64
  5. Step 5: Solve for x
    x = 432,349,916.64/23,783.34
  6. Step 6: Final answer
    x = 18,178.69

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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.