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Finding the Fourth Proportional to 13,000.94, 19,496.01 and 4,678.46

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Solution

The fourth proportional to 13,000.94, 19,496.01 and 4,678.46 is: 7,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.94 : 19,496.01 = 4,678.46 : x
  2. Step 2: Convert to fraction form
    13,000.94/19,496.01 = 4,678.46/x
  3. Step 3: Cross multiply
    13,000.94x = 19,496.01 × 4,678.46
  4. Step 4: Simplify right side
    13,000.94x = 91,211,302.94
  5. Step 5: Solve for x
    x = 91,211,302.94/13,000.94
  6. Step 6: Final answer
    x = 7,015.75

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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.