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Finding the Fourth Proportional to 12,807.38, 19,191.62 and 9,505.02

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Solution

The fourth proportional to 12,807.38, 19,191.62 and 9,505.02 is: 14,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.38 : 19,191.62 = 9,505.02 : x
  2. Step 2: Convert to fraction form
    12,807.38/19,191.62 = 9,505.02/x
  3. Step 3: Cross multiply
    12,807.38x = 19,191.62 × 9,505.02
  4. Step 4: Simplify right side
    12,807.38x = 182,416,731.93
  5. Step 5: Solve for x
    x = 182,416,731.93/12,807.38
  6. Step 6: Final answer
    x = 14,243.10

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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.