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Finding the Fourth Proportional to 19,526, 26,950.74 and 11,147.36

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Solution

The fourth proportional to 19,526, 26,950.74 and 11,147.36 is: 15,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,526 : 26,950.74 = 11,147.36 : x
  2. Step 2: Convert to fraction form
    19,526/26,950.74 = 11,147.36/x
  3. Step 3: Cross multiply
    19,526x = 26,950.74 × 11,147.36
  4. Step 4: Simplify right side
    19,526x = 300,429,601.05
  5. Step 5: Solve for x
    x = 300,429,601.05/19,526
  6. Step 6: Final answer
    x = 15,386.13

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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.