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Finding the Fourth Proportional to 13,914.20, 19,187.16 and 9,670.08

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Solution

The fourth proportional to 13,914.20, 19,187.16 and 9,670.08 is: 13,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.20 : 19,187.16 = 9,670.08 : x
  2. Step 2: Convert to fraction form
    13,914.20/19,187.16 = 9,670.08/x
  3. Step 3: Cross multiply
    13,914.20x = 19,187.16 × 9,670.08
  4. Step 4: Simplify right side
    13,914.20x = 185,541,372.17
  5. Step 5: Solve for x
    x = 185,541,372.17/13,914.20
  6. Step 6: Final answer
    x = 13,334.68

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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.