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Finding the Fourth Proportional to 23,775.34, 32,811.01 and 13,164.98

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Solution

The fourth proportional to 23,775.34, 32,811.01 and 13,164.98 is: 18,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.34 : 32,811.01 = 13,164.98 : x
  2. Step 2: Convert to fraction form
    23,775.34/32,811.01 = 13,164.98/x
  3. Step 3: Cross multiply
    23,775.34x = 32,811.01 × 13,164.98
  4. Step 4: Simplify right side
    23,775.34x = 431,956,278.02
  5. Step 5: Solve for x
    x = 431,956,278.02/23,775.34
  6. Step 6: Final answer
    x = 18,168.25

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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.