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Finding the Fourth Proportional to 13,347.96, 20,034 and 7,113.23

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Solution

The fourth proportional to 13,347.96, 20,034 and 7,113.23 is: 10,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347.96 : 20,034 = 7,113.23 : x
  2. Step 2: Convert to fraction form
    13,347.96/20,034 = 7,113.23/x
  3. Step 3: Cross multiply
    13,347.96x = 20,034 × 7,113.23
  4. Step 4: Simplify right side
    13,347.96x = 142,506,449.82
  5. Step 5: Solve for x
    x = 142,506,449.82/13,347.96
  6. Step 6: Final answer
    x = 10,676.27

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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.