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Finding the Fourth Proportional to 14,065.12, 21,098.16 and 3,676.96

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Solution

The fourth proportional to 14,065.12, 21,098.16 and 3,676.96 is: 5,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.12 : 21,098.16 = 3,676.96 : x
  2. Step 2: Convert to fraction form
    14,065.12/21,098.16 = 3,676.96/x
  3. Step 3: Cross multiply
    14,065.12x = 21,098.16 × 3,676.96
  4. Step 4: Simplify right side
    14,065.12x = 77,577,090.39
  5. Step 5: Solve for x
    x = 77,577,090.39/14,065.12
  6. Step 6: Final answer
    x = 5,515.57

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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.