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Finding the Fourth Proportional to 21,284.81, 29,358.97 and 13,313.20

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Solution

The fourth proportional to 21,284.81, 29,358.97 and 13,313.20 is: 18,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.81 : 29,358.97 = 13,313.20 : x
  2. Step 2: Convert to fraction form
    21,284.81/29,358.97 = 13,313.20/x
  3. Step 3: Cross multiply
    21,284.81x = 29,358.97 × 13,313.20
  4. Step 4: Simplify right side
    21,284.81x = 390,861,839.40
  5. Step 5: Solve for x
    x = 390,861,839.40/21,284.81
  6. Step 6: Final answer
    x = 18,363.42

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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.