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Finding the Fourth Proportional to 12,952.51, 19,431.60 and 4,187.30

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Solution

The fourth proportional to 12,952.51, 19,431.60 and 4,187.30 is: 6,281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.51 : 19,431.60 = 4,187.30 : x
  2. Step 2: Convert to fraction form
    12,952.51/19,431.60 = 4,187.30/x
  3. Step 3: Cross multiply
    12,952.51x = 19,431.60 × 4,187.30
  4. Step 4: Simplify right side
    12,952.51x = 81,365,825.82
  5. Step 5: Solve for x
    x = 81,365,825.82/12,952.51
  6. Step 6: Final answer
    x = 6,281.86

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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.