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Finding the Fourth Proportional to 12,952.09, 19,430.97 and 4,187.89

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Solution

The fourth proportional to 12,952.09, 19,430.97 and 4,187.89 is: 6,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.09 : 19,430.97 = 4,187.89 : x
  2. Step 2: Convert to fraction form
    12,952.09/19,430.97 = 4,187.89/x
  3. Step 3: Cross multiply
    12,952.09x = 19,430.97 × 4,187.89
  4. Step 4: Simplify right side
    12,952.09x = 81,374,764.95
  5. Step 5: Solve for x
    x = 81,374,764.95/12,952.09
  6. Step 6: Final answer
    x = 6,282.75

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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.