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Finding the Fourth Proportional to 23,334.63, 32,206.80 and 13,770.96

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Solution

The fourth proportional to 23,334.63, 32,206.80 and 13,770.96 is: 19,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,334.63 : 32,206.80 = 13,770.96 : x
  2. Step 2: Convert to fraction form
    23,334.63/32,206.80 = 13,770.96/x
  3. Step 3: Cross multiply
    23,334.63x = 32,206.80 × 13,770.96
  4. Step 4: Simplify right side
    23,334.63x = 443,518,554.53
  5. Step 5: Solve for x
    x = 443,518,554.53/23,334.63
  6. Step 6: Final answer
    x = 19,006.88

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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.