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Finding the Fourth Proportional to 23,438.88, 32,345.70 and 12,829.20

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Solution

The fourth proportional to 23,438.88, 32,345.70 and 12,829.20 is: 17,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,438.88 : 32,345.70 = 12,829.20 : x
  2. Step 2: Convert to fraction form
    23,438.88/32,345.70 = 12,829.20/x
  3. Step 3: Cross multiply
    23,438.88x = 32,345.70 × 12,829.20
  4. Step 4: Simplify right side
    23,438.88x = 414,969,454.44
  5. Step 5: Solve for x
    x = 414,969,454.44/23,438.88
  6. Step 6: Final answer
    x = 17,704.32

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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.