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Finding the Fourth Proportional to 13,804.09, 19,048.53 and 7,834.66

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Solution

The fourth proportional to 13,804.09, 19,048.53 and 7,834.66 is: 10,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.09 : 19,048.53 = 7,834.66 : x
  2. Step 2: Convert to fraction form
    13,804.09/19,048.53 = 7,834.66/x
  3. Step 3: Cross multiply
    13,804.09x = 19,048.53 × 7,834.66
  4. Step 4: Simplify right side
    13,804.09x = 149,238,756.05
  5. Step 5: Solve for x
    x = 149,238,756.05/13,804.09
  6. Step 6: Final answer
    x = 10,811.20

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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.