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Finding the Fourth Proportional to 13,534.29, 20,291.90 and 5,207.31

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Solution

The fourth proportional to 13,534.29, 20,291.90 and 5,207.31 is: 7,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.29 : 20,291.90 = 5,207.31 : x
  2. Step 2: Convert to fraction form
    13,534.29/20,291.90 = 5,207.31/x
  3. Step 3: Cross multiply
    13,534.29x = 20,291.90 × 5,207.31
  4. Step 4: Simplify right side
    13,534.29x = 105,666,187.75
  5. Step 5: Solve for x
    x = 105,666,187.75/13,534.29
  6. Step 6: Final answer
    x = 7,807.29

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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.