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Finding the Fourth Proportional to 26,072.36, 39,099 and 9,428.40

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Solution

The fourth proportional to 26,072.36, 39,099 and 9,428.40 is: 14,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,072.36 : 39,099 = 9,428.40 : x
  2. Step 2: Convert to fraction form
    26,072.36/39,099 = 9,428.40/x
  3. Step 3: Cross multiply
    26,072.36x = 39,099 × 9,428.40
  4. Step 4: Simplify right side
    26,072.36x = 368,641,011.60
  5. Step 5: Solve for x
    x = 368,641,011.60/26,072.36
  6. Step 6: Final answer
    x = 14,139.15

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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.