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Finding the Fourth Proportional to 13,770.84, 19,004.04 and 7,483.62

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Solution

The fourth proportional to 13,770.84, 19,004.04 and 7,483.62 is: 10,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.84 : 19,004.04 = 7,483.62 : x
  2. Step 2: Convert to fraction form
    13,770.84/19,004.04 = 7,483.62/x
  3. Step 3: Cross multiply
    13,770.84x = 19,004.04 × 7,483.62
  4. Step 4: Simplify right side
    13,770.84x = 142,219,013.82
  5. Step 5: Solve for x
    x = 142,219,013.82/13,770.84
  6. Step 6: Final answer
    x = 10,327.55

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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.