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Finding the Fourth Proportional to 13,833.64, 19,090.23 and 7,546

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Solution

The fourth proportional to 13,833.64, 19,090.23 and 7,546 is: 10,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.64 : 19,090.23 = 7,546 : x
  2. Step 2: Convert to fraction form
    13,833.64/19,090.23 = 7,546/x
  3. Step 3: Cross multiply
    13,833.64x = 19,090.23 × 7,546
  4. Step 4: Simplify right side
    13,833.64x = 144,054,875.58
  5. Step 5: Solve for x
    x = 144,054,875.58/13,833.64
  6. Step 6: Final answer
    x = 10,413.37

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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.