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Finding the Fourth Proportional to 13,529.51, 20,299.65 and 5,207.29

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Solution

The fourth proportional to 13,529.51, 20,299.65 and 5,207.29 is: 7,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529.51 : 20,299.65 = 5,207.29 : x
  2. Step 2: Convert to fraction form
    13,529.51/20,299.65 = 5,207.29/x
  3. Step 3: Cross multiply
    13,529.51x = 20,299.65 × 5,207.29
  4. Step 4: Simplify right side
    13,529.51x = 105,706,165.91
  5. Step 5: Solve for x
    x = 105,706,165.91/13,529.51
  6. Step 6: Final answer
    x = 7,813.01

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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.