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Finding the Fourth Proportional to 12,953.94, 19,431.32 and 4,189.74

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Solution

The fourth proportional to 12,953.94, 19,431.32 and 4,189.74 is: 6,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.94 : 19,431.32 = 4,189.74 : x
  2. Step 2: Convert to fraction form
    12,953.94/19,431.32 = 4,189.74/x
  3. Step 3: Cross multiply
    12,953.94x = 19,431.32 × 4,189.74
  4. Step 4: Simplify right side
    12,953.94x = 81,412,157.71
  5. Step 5: Solve for x
    x = 81,412,157.71/12,953.94
  6. Step 6: Final answer
    x = 6,284.74

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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.