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Finding the Fourth Proportional to 23,307, 32,164.20 and 13,233.84

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Solution

The fourth proportional to 23,307, 32,164.20 and 13,233.84 is: 18,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307 : 32,164.20 = 13,233.84 : x
  2. Step 2: Convert to fraction form
    23,307/32,164.20 = 13,233.84/x
  3. Step 3: Cross multiply
    23,307x = 32,164.20 × 13,233.84
  4. Step 4: Simplify right side
    23,307x = 425,655,876.53
  5. Step 5: Solve for x
    x = 425,655,876.53/23,307
  6. Step 6: Final answer
    x = 18,263.01

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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.