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Finding the Fourth Proportional to 23,106.64, 34,648.98 and 12,002.20

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Solution

The fourth proportional to 23,106.64, 34,648.98 and 12,002.20 is: 17,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.64 : 34,648.98 = 12,002.20 : x
  2. Step 2: Convert to fraction form
    23,106.64/34,648.98 = 12,002.20/x
  3. Step 3: Cross multiply
    23,106.64x = 34,648.98 × 12,002.20
  4. Step 4: Simplify right side
    23,106.64x = 415,863,987.76
  5. Step 5: Solve for x
    x = 415,863,987.76/23,106.64
  6. Step 6: Final answer
    x = 17,997.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.