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Finding the Fourth Proportional to 12,887.70, 19,322.09 and 4,117.56

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Solution

The fourth proportional to 12,887.70, 19,322.09 and 4,117.56 is: 6,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.70 : 19,322.09 = 4,117.56 : x
  2. Step 2: Convert to fraction form
    12,887.70/19,322.09 = 4,117.56/x
  3. Step 3: Cross multiply
    12,887.70x = 19,322.09 × 4,117.56
  4. Step 4: Simplify right side
    12,887.70x = 79,559,864.90
  5. Step 5: Solve for x
    x = 79,559,864.90/12,887.70
  6. Step 6: Final answer
    x = 6,173.32

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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.