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Finding the Fourth Proportional to 23,294.58, 32,147.20 and 12,684.40

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Solution

The fourth proportional to 23,294.58, 32,147.20 and 12,684.40 is: 17,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.58 : 32,147.20 = 12,684.40 : x
  2. Step 2: Convert to fraction form
    23,294.58/32,147.20 = 12,684.40/x
  3. Step 3: Cross multiply
    23,294.58x = 32,147.20 × 12,684.40
  4. Step 4: Simplify right side
    23,294.58x = 407,767,943.68
  5. Step 5: Solve for x
    x = 407,767,943.68/23,294.58
  6. Step 6: Final answer
    x = 17,504.84

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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.