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Finding the Fourth Proportional to 12,958.24, 19,417.92 and 7,758.40

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Solution

The fourth proportional to 12,958.24, 19,417.92 and 7,758.40 is: 11,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.24 : 19,417.92 = 7,758.40 : x
  2. Step 2: Convert to fraction form
    12,958.24/19,417.92 = 7,758.40/x
  3. Step 3: Cross multiply
    12,958.24x = 19,417.92 × 7,758.40
  4. Step 4: Simplify right side
    12,958.24x = 150,651,990.53
  5. Step 5: Solve for x
    x = 150,651,990.53/12,958.24
  6. Step 6: Final answer
    x = 11,625.96

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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.