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Finding the Fourth Proportional to 19,475, 26,874.93 and 10,977.62

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Solution

The fourth proportional to 19,475, 26,874.93 and 10,977.62 is: 15,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,475 : 26,874.93 = 10,977.62 : x
  2. Step 2: Convert to fraction form
    19,475/26,874.93 = 10,977.62/x
  3. Step 3: Cross multiply
    19,475x = 26,874.93 × 10,977.62
  4. Step 4: Simplify right side
    19,475x = 295,022,769.07
  5. Step 5: Solve for x
    x = 295,022,769.07/19,475
  6. Step 6: Final answer
    x = 15,148.79

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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.