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Finding the Fourth Proportional to 23,830.84, 32,885.02 and 13,219.76

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Solution

The fourth proportional to 23,830.84, 32,885.02 and 13,219.76 is: 18,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.84 : 32,885.02 = 13,219.76 : x
  2. Step 2: Convert to fraction form
    23,830.84/32,885.02 = 13,219.76/x
  3. Step 3: Cross multiply
    23,830.84x = 32,885.02 × 13,219.76
  4. Step 4: Simplify right side
    23,830.84x = 434,732,072.00
  5. Step 5: Solve for x
    x = 434,732,072.00/23,830.84
  6. Step 6: Final answer
    x = 18,242.41

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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.