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Finding the Fourth Proportional to 13,094, 19,614.72 and 6,500.24

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Solution

The fourth proportional to 13,094, 19,614.72 and 6,500.24 is: 9,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094 : 19,614.72 = 6,500.24 : x
  2. Step 2: Convert to fraction form
    13,094/19,614.72 = 6,500.24/x
  3. Step 3: Cross multiply
    13,094x = 19,614.72 × 6,500.24
  4. Step 4: Simplify right side
    13,094x = 127,500,387.53
  5. Step 5: Solve for x
    x = 127,500,387.53/13,094
  6. Step 6: Final answer
    x = 9,737.31

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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.