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Finding the Fourth Proportional to 13,476.42, 20,213.07 and 5,156.25

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Solution

The fourth proportional to 13,476.42, 20,213.07 and 5,156.25 is: 7,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.42 : 20,213.07 = 5,156.25 : x
  2. Step 2: Convert to fraction form
    13,476.42/20,213.07 = 5,156.25/x
  3. Step 3: Cross multiply
    13,476.42x = 20,213.07 × 5,156.25
  4. Step 4: Simplify right side
    13,476.42x = 104,223,642.19
  5. Step 5: Solve for x
    x = 104,223,642.19/13,476.42
  6. Step 6: Final answer
    x = 7,733.78

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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.