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Finding the Fourth Proportional to 13,116.53, 19,674.64 and 7,853.01

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Solution

The fourth proportional to 13,116.53, 19,674.64 and 7,853.01 is: 11,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116.53 : 19,674.64 = 7,853.01 : x
  2. Step 2: Convert to fraction form
    13,116.53/19,674.64 = 7,853.01/x
  3. Step 3: Cross multiply
    13,116.53x = 19,674.64 × 7,853.01
  4. Step 4: Simplify right side
    13,116.53x = 154,505,144.67
  5. Step 5: Solve for x
    x = 154,505,144.67/13,116.53
  6. Step 6: Final answer
    x = 11,779.42

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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.