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Finding the Fourth Proportional to 14,071.75, 19,419.04 and 8,021.81

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Solution

The fourth proportional to 14,071.75, 19,419.04 and 8,021.81 is: 11,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.75 : 19,419.04 = 8,021.81 : x
  2. Step 2: Convert to fraction form
    14,071.75/19,419.04 = 8,021.81/x
  3. Step 3: Cross multiply
    14,071.75x = 19,419.04 × 8,021.81
  4. Step 4: Simplify right side
    14,071.75x = 155,775,853.22
  5. Step 5: Solve for x
    x = 155,775,853.22/14,071.75
  6. Step 6: Final answer
    x = 11,070.11

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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.