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Finding the Fourth Proportional to 13,202.68, 19,805.64 and 4,881.28

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Solution

The fourth proportional to 13,202.68, 19,805.64 and 4,881.28 is: 7,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.68 : 19,805.64 = 4,881.28 : x
  2. Step 2: Convert to fraction form
    13,202.68/19,805.64 = 4,881.28/x
  3. Step 3: Cross multiply
    13,202.68x = 19,805.64 × 4,881.28
  4. Step 4: Simplify right side
    13,202.68x = 96,676,874.42
  5. Step 5: Solve for x
    x = 96,676,874.42/13,202.68
  6. Step 6: Final answer
    x = 7,322.52

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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.