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Finding the Fourth Proportional to 35,770.98, 53,666 and 12,397.38

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Solution

The fourth proportional to 35,770.98, 53,666 and 12,397.38 is: 18,599.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.98 : 53,666 = 12,397.38 : x
  2. Step 2: Convert to fraction form
    35,770.98/53,666 = 12,397.38/x
  3. Step 3: Cross multiply
    35,770.98x = 53,666 × 12,397.38
  4. Step 4: Simplify right side
    35,770.98x = 665,317,795.08
  5. Step 5: Solve for x
    x = 665,317,795.08/35,770.98
  6. Step 6: Final answer
    x = 18,599.37

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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.