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Finding the Fourth Proportional to 23,783.52, 32,820.84 and 13,172.94

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Solution

The fourth proportional to 23,783.52, 32,820.84 and 13,172.94 is: 18,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.52 : 32,820.84 = 13,172.94 : x
  2. Step 2: Convert to fraction form
    23,783.52/32,820.84 = 13,172.94/x
  3. Step 3: Cross multiply
    23,783.52x = 32,820.84 × 13,172.94
  4. Step 4: Simplify right side
    23,783.52x = 432,346,956.07
  5. Step 5: Solve for x
    x = 432,346,956.07/23,783.52
  6. Step 6: Final answer
    x = 18,178.43

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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.