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Finding the Fourth Proportional to 19,596.42, 29,397.87 and 9,076.95

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Solution

The fourth proportional to 19,596.42, 29,397.87 and 9,076.95 is: 13,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596.42 : 29,397.87 = 9,076.95 : x
  2. Step 2: Convert to fraction form
    19,596.42/29,397.87 = 9,076.95/x
  3. Step 3: Cross multiply
    19,596.42x = 29,397.87 × 9,076.95
  4. Step 4: Simplify right side
    19,596.42x = 266,842,996.10
  5. Step 5: Solve for x
    x = 266,842,996.10/19,596.42
  6. Step 6: Final answer
    x = 13,616.93

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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.