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Finding the Fourth Proportional to 12,859.27, 19,288.76 and 9,758.32

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Solution

The fourth proportional to 12,859.27, 19,288.76 and 9,758.32 is: 14,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.27 : 19,288.76 = 9,758.32 : x
  2. Step 2: Convert to fraction form
    12,859.27/19,288.76 = 9,758.32/x
  3. Step 3: Cross multiply
    12,859.27x = 19,288.76 × 9,758.32
  4. Step 4: Simplify right side
    12,859.27x = 188,225,796.04
  5. Step 5: Solve for x
    x = 188,225,796.04/12,859.27
  6. Step 6: Final answer
    x = 14,637.37

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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.