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Finding the Fourth Proportional to 13,770.86, 19,003.75 and 7,483.23

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Solution

The fourth proportional to 13,770.86, 19,003.75 and 7,483.23 is: 10,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.86 : 19,003.75 = 7,483.23 : x
  2. Step 2: Convert to fraction form
    13,770.86/19,003.75 = 7,483.23/x
  3. Step 3: Cross multiply
    13,770.86x = 19,003.75 × 7,483.23
  4. Step 4: Simplify right side
    13,770.86x = 142,209,394.70
  5. Step 5: Solve for x
    x = 142,209,394.70/13,770.86
  6. Step 6: Final answer
    x = 10,326.84

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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.