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Finding the Fourth Proportional to 12,505.16, 18,741.54 and 5,101.09

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Solution

The fourth proportional to 12,505.16, 18,741.54 and 5,101.09 is: 7,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.16 : 18,741.54 = 5,101.09 : x
  2. Step 2: Convert to fraction form
    12,505.16/18,741.54 = 5,101.09/x
  3. Step 3: Cross multiply
    12,505.16x = 18,741.54 × 5,101.09
  4. Step 4: Simplify right side
    12,505.16x = 95,602,282.28
  5. Step 5: Solve for x
    x = 95,602,282.28/12,505.16
  6. Step 6: Final answer
    x = 7,645.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.