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Finding the Fourth Proportional to 13,412.34, 18,508.14 and 7,443.64

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Solution

The fourth proportional to 13,412.34, 18,508.14 and 7,443.64 is: 10,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.34 : 18,508.14 = 7,443.64 : x
  2. Step 2: Convert to fraction form
    13,412.34/18,508.14 = 7,443.64/x
  3. Step 3: Cross multiply
    13,412.34x = 18,508.14 × 7,443.64
  4. Step 4: Simplify right side
    13,412.34x = 137,767,931.23
  5. Step 5: Solve for x
    x = 137,767,931.23/13,412.34
  6. Step 6: Final answer
    x = 10,271.73

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