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Finding the Fourth Proportional to 13,410.38, 18,506.32 and 7,443

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Solution

The fourth proportional to 13,410.38, 18,506.32 and 7,443 is: 10,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.38 : 18,506.32 = 7,443 : x
  2. Step 2: Convert to fraction form
    13,410.38/18,506.32 = 7,443/x
  3. Step 3: Cross multiply
    13,410.38x = 18,506.32 × 7,443
  4. Step 4: Simplify right side
    13,410.38x = 137,742,539.76
  5. Step 5: Solve for x
    x = 137,742,539.76/13,410.38
  6. Step 6: Final answer
    x = 10,271.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.