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Finding the Fourth Proportional to 14,342.58, 19,738.83 and 12,133.50

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Solution

The fourth proportional to 14,342.58, 19,738.83 and 12,133.50 is: 16,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.58 : 19,738.83 = 12,133.50 : x
  2. Step 2: Convert to fraction form
    14,342.58/19,738.83 = 12,133.50/x
  3. Step 3: Cross multiply
    14,342.58x = 19,738.83 × 12,133.50
  4. Step 4: Simplify right side
    14,342.58x = 239,501,093.81
  5. Step 5: Solve for x
    x = 239,501,093.81/14,342.58
  6. Step 6: Final answer
    x = 16,698.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.