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Finding the Fourth Proportional to 13,322.79, 19,984.50 and 6,306.08

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Solution

The fourth proportional to 13,322.79, 19,984.50 and 6,306.08 is: 9,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.79 : 19,984.50 = 6,306.08 : x
  2. Step 2: Convert to fraction form
    13,322.79/19,984.50 = 6,306.08/x
  3. Step 3: Cross multiply
    13,322.79x = 19,984.50 × 6,306.08
  4. Step 4: Simplify right side
    13,322.79x = 126,023,755.84
  5. Step 5: Solve for x
    x = 126,023,755.84/13,322.79
  6. Step 6: Final answer
    x = 9,459.26

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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.