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Finding the Fourth Proportional to 19,597.42, 29,399.37 and 9,077.95

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Solution

The fourth proportional to 19,597.42, 29,399.37 and 9,077.95 is: 13,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.42 : 29,399.37 = 9,077.95 : x
  2. Step 2: Convert to fraction form
    19,597.42/29,399.37 = 9,077.95/x
  3. Step 3: Cross multiply
    19,597.42x = 29,399.37 × 9,077.95
  4. Step 4: Simplify right side
    19,597.42x = 266,886,010.89
  5. Step 5: Solve for x
    x = 266,886,010.89/19,597.42
  6. Step 6: Final answer
    x = 13,618.43

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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.