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Finding the Fourth Proportional to 13,770.84, 19,003.76 and 7,483.22

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Solution

The fourth proportional to 13,770.84, 19,003.76 and 7,483.22 is: 10,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.84 : 19,003.76 = 7,483.22 : x
  2. Step 2: Convert to fraction form
    13,770.84/19,003.76 = 7,483.22/x
  3. Step 3: Cross multiply
    13,770.84x = 19,003.76 × 7,483.22
  4. Step 4: Simplify right side
    13,770.84x = 142,209,325.89
  5. Step 5: Solve for x
    x = 142,209,325.89/13,770.84
  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.