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Finding the Fourth Proportional to 16,705.12, 23,000.61 and 14,182

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Solution

The fourth proportional to 16,705.12, 23,000.61 and 14,182 is: 19,526.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.12 : 23,000.61 = 14,182 : x
  2. Step 2: Convert to fraction form
    16,705.12/23,000.61 = 14,182/x
  3. Step 3: Cross multiply
    16,705.12x = 23,000.61 × 14,182
  4. Step 4: Simplify right side
    16,705.12x = 326,194,651.02
  5. Step 5: Solve for x
    x = 326,194,651.02/16,705.12
  6. Step 6: Final answer
    x = 19,526.63

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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.