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Finding the Fourth Proportional to 12,956.36, 19,430.42 and 4,189.19

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Solution

The fourth proportional to 12,956.36, 19,430.42 and 4,189.19 is: 6,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.36 : 19,430.42 = 4,189.19 : x
  2. Step 2: Convert to fraction form
    12,956.36/19,430.42 = 4,189.19/x
  3. Step 3: Cross multiply
    12,956.36x = 19,430.42 × 4,189.19
  4. Step 4: Simplify right side
    12,956.36x = 81,397,603.06
  5. Step 5: Solve for x
    x = 81,397,603.06/12,956.36
  6. Step 6: Final answer
    x = 6,282.45

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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.