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Finding the Fourth Proportional to 13,807.67, 19,056.30 and 7,841.26

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Solution

The fourth proportional to 13,807.67, 19,056.30 and 7,841.26 is: 10,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.67 : 19,056.30 = 7,841.26 : x
  2. Step 2: Convert to fraction form
    13,807.67/19,056.30 = 7,841.26/x
  3. Step 3: Cross multiply
    13,807.67x = 19,056.30 × 7,841.26
  4. Step 4: Simplify right side
    13,807.67x = 149,425,402.94
  5. Step 5: Solve for x
    x = 149,425,402.94/13,807.67
  6. Step 6: Final answer
    x = 10,821.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.