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Finding the Fourth Proportional to 19,698.06, 29,477.70 and 12,306

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Solution

The fourth proportional to 19,698.06, 29,477.70 and 12,306 is: 18,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.06 : 29,477.70 = 12,306 : x
  2. Step 2: Convert to fraction form
    19,698.06/29,477.70 = 12,306/x
  3. Step 3: Cross multiply
    19,698.06x = 29,477.70 × 12,306
  4. Step 4: Simplify right side
    19,698.06x = 362,752,576.20
  5. Step 5: Solve for x
    x = 362,752,576.20/19,698.06
  6. Step 6: Final answer
    x = 18,415.65

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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.