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Finding the Fourth Proportional to 12,952.44, 19,429 and 9,686.27

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Solution

The fourth proportional to 12,952.44, 19,429 and 9,686.27 is: 14,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.44 : 19,429 = 9,686.27 : x
  2. Step 2: Convert to fraction form
    12,952.44/19,429 = 9,686.27/x
  3. Step 3: Cross multiply
    12,952.44x = 19,429 × 9,686.27
  4. Step 4: Simplify right side
    12,952.44x = 188,194,539.83
  5. Step 5: Solve for x
    x = 188,194,539.83/12,952.44
  6. Step 6: Final answer
    x = 14,529.66

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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.