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Finding the Fourth Proportional to 16,817.70, 23,211.45 and 9,748.02

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Solution

The fourth proportional to 16,817.70, 23,211.45 and 9,748.02 is: 13,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.70 : 23,211.45 = 9,748.02 : x
  2. Step 2: Convert to fraction form
    16,817.70/23,211.45 = 9,748.02/x
  3. Step 3: Cross multiply
    16,817.70x = 23,211.45 × 9,748.02
  4. Step 4: Simplify right side
    16,817.70x = 226,265,678.83
  5. Step 5: Solve for x
    x = 226,265,678.83/16,817.70
  6. Step 6: Final answer
    x = 13,454.02

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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.