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Finding the Fourth Proportional to 13,804.25, 19,050.26 and 7,836.17

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Solution

The fourth proportional to 13,804.25, 19,050.26 and 7,836.17 is: 10,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.25 : 19,050.26 = 7,836.17 : x
  2. Step 2: Convert to fraction form
    13,804.25/19,050.26 = 7,836.17/x
  3. Step 3: Cross multiply
    13,804.25x = 19,050.26 × 7,836.17
  4. Step 4: Simplify right side
    13,804.25x = 149,280,941.47
  5. Step 5: Solve for x
    x = 149,280,941.47/13,804.25
  6. Step 6: Final answer
    x = 10,814.13

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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.