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Finding the Fourth Proportional to 13,850.85, 19,102.12 and 9,003.53

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Solution

The fourth proportional to 13,850.85, 19,102.12 and 9,003.53 is: 12,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.85 : 19,102.12 = 9,003.53 : x
  2. Step 2: Convert to fraction form
    13,850.85/19,102.12 = 9,003.53/x
  3. Step 3: Cross multiply
    13,850.85x = 19,102.12 × 9,003.53
  4. Step 4: Simplify right side
    13,850.85x = 171,986,534.74
  5. Step 5: Solve for x
    x = 171,986,534.74/13,850.85
  6. Step 6: Final answer
    x = 12,417.03

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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.