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Finding the Fourth Proportional to 16,770.89, 23,143.65 and 9,697.16

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Solution

The fourth proportional to 16,770.89, 23,143.65 and 9,697.16 is: 13,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770.89 : 23,143.65 = 9,697.16 : x
  2. Step 2: Convert to fraction form
    16,770.89/23,143.65 = 9,697.16/x
  3. Step 3: Cross multiply
    16,770.89x = 23,143.65 × 9,697.16
  4. Step 4: Simplify right side
    16,770.89x = 224,427,677.03
  5. Step 5: Solve for x
    x = 224,427,677.03/16,770.89
  6. Step 6: Final answer
    x = 13,381.98

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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.