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Finding the Fourth Proportional to 13,986.16, 19,303.66 and 8,021.86

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Solution

The fourth proportional to 13,986.16, 19,303.66 and 8,021.86 is: 11,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.16 : 19,303.66 = 8,021.86 : x
  2. Step 2: Convert to fraction form
    13,986.16/19,303.66 = 8,021.86/x
  3. Step 3: Cross multiply
    13,986.16x = 19,303.66 × 8,021.86
  4. Step 4: Simplify right side
    13,986.16x = 154,851,258.01
  5. Step 5: Solve for x
    x = 154,851,258.01/13,986.16
  6. Step 6: Final answer
    x = 11,071.75

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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.