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Finding the Fourth Proportional to 13,313.98, 19,956.53 and 6,564.24

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Solution

The fourth proportional to 13,313.98, 19,956.53 and 6,564.24 is: 9,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313.98 : 19,956.53 = 6,564.24 : x
  2. Step 2: Convert to fraction form
    13,313.98/19,956.53 = 6,564.24/x
  3. Step 3: Cross multiply
    13,313.98x = 19,956.53 × 6,564.24
  4. Step 4: Simplify right side
    13,313.98x = 130,999,419.67
  5. Step 5: Solve for x
    x = 130,999,419.67/13,313.98
  6. Step 6: Final answer
    x = 9,839.24

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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.