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Finding the Fourth Proportional to 13,412.93, 18,496.89 and 10,017.41

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Solution

The fourth proportional to 13,412.93, 18,496.89 and 10,017.41 is: 13,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.93 : 18,496.89 = 10,017.41 : x
  2. Step 2: Convert to fraction form
    13,412.93/18,496.89 = 10,017.41/x
  3. Step 3: Cross multiply
    13,412.93x = 18,496.89 × 10,017.41
  4. Step 4: Simplify right side
    13,412.93x = 185,290,838.37
  5. Step 5: Solve for x
    x = 185,290,838.37/13,412.93
  6. Step 6: Final answer
    x = 13,814.35

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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.