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Finding the Fourth Proportional to 13,166.44, 19,749.64 and 6,586

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Solution

The fourth proportional to 13,166.44, 19,749.64 and 6,586 is: 9,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.44 : 19,749.64 = 6,586 : x
  2. Step 2: Convert to fraction form
    13,166.44/19,749.64 = 6,586/x
  3. Step 3: Cross multiply
    13,166.44x = 19,749.64 × 6,586
  4. Step 4: Simplify right side
    13,166.44x = 130,071,129.04
  5. Step 5: Solve for x
    x = 130,071,129.04/13,166.44
  6. Step 6: Final answer
    x = 9,878.99

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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.