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Finding the Fourth Proportional to 13,223.34, 19,816.37 and 7,302.90

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Solution

The fourth proportional to 13,223.34, 19,816.37 and 7,302.90 is: 10,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.34 : 19,816.37 = 7,302.90 : x
  2. Step 2: Convert to fraction form
    13,223.34/19,816.37 = 7,302.90/x
  3. Step 3: Cross multiply
    13,223.34x = 19,816.37 × 7,302.90
  4. Step 4: Simplify right side
    13,223.34x = 144,716,832.88
  5. Step 5: Solve for x
    x = 144,716,832.88/13,223.34
  6. Step 6: Final answer
    x = 10,944.05

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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.