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Finding the Fourth Proportional to 13,212.88, 19,827.36 and 5,313.89

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Solution

The fourth proportional to 13,212.88, 19,827.36 and 5,313.89 is: 7,974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.88 : 19,827.36 = 5,313.89 : x
  2. Step 2: Convert to fraction form
    13,212.88/19,827.36 = 5,313.89/x
  3. Step 3: Cross multiply
    13,212.88x = 19,827.36 × 5,313.89
  4. Step 4: Simplify right side
    13,212.88x = 105,360,459.60
  5. Step 5: Solve for x
    x = 105,360,459.60/13,212.88
  6. Step 6: Final answer
    x = 7,974.07

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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.