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Finding the Fourth Proportional to 13,051, 19,579.38 and 4,843

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Solution

The fourth proportional to 13,051, 19,579.38 and 4,843 is: 7,265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,051 : 19,579.38 = 4,843 : x
  2. Step 2: Convert to fraction form
    13,051/19,579.38 = 4,843/x
  3. Step 3: Cross multiply
    13,051x = 19,579.38 × 4,843
  4. Step 4: Simplify right side
    13,051x = 94,822,937.34
  5. Step 5: Solve for x
    x = 94,822,937.34/13,051
  6. Step 6: Final answer
    x = 7,265.57

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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.