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Finding the Fourth Proportional to 17,886, 24,665.40 and 13,900.80

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Solution

The fourth proportional to 17,886, 24,665.40 and 13,900.80 is: 19,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886 : 24,665.40 = 13,900.80 : x
  2. Step 2: Convert to fraction form
    17,886/24,665.40 = 13,900.80/x
  3. Step 3: Cross multiply
    17,886x = 24,665.40 × 13,900.80
  4. Step 4: Simplify right side
    17,886x = 342,868,792.32
  5. Step 5: Solve for x
    x = 342,868,792.32/17,886
  6. Step 6: Final answer
    x = 19,169.67

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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.