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Finding the Fourth Proportional to 16,345.67, 24,522.75 and 4,659.80

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Solution

The fourth proportional to 16,345.67, 24,522.75 and 4,659.80 is: 6,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.67 : 24,522.75 = 4,659.80 : x
  2. Step 2: Convert to fraction form
    16,345.67/24,522.75 = 4,659.80/x
  3. Step 3: Cross multiply
    16,345.67x = 24,522.75 × 4,659.80
  4. Step 4: Simplify right side
    16,345.67x = 114,270,987.84
  5. Step 5: Solve for x
    x = 114,270,987.84/16,345.67
  6. Step 6: Final answer
    x = 6,990.90

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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.