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Finding the Fourth Proportional to 13,422.34, 20,134.88 and 6,401.16

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Solution

The fourth proportional to 13,422.34, 20,134.88 and 6,401.16 is: 9,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.34 : 20,134.88 = 6,401.16 : x
  2. Step 2: Convert to fraction form
    13,422.34/20,134.88 = 6,401.16/x
  3. Step 3: Cross multiply
    13,422.34x = 20,134.88 × 6,401.16
  4. Step 4: Simplify right side
    13,422.34x = 128,886,580.46
  5. Step 5: Solve for x
    x = 128,886,580.46/13,422.34
  6. Step 6: Final answer
    x = 9,602.39

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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.