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Finding the Fourth Proportional to 13,408.32, 20,113.40 and 4,643.92

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Solution

The fourth proportional to 13,408.32, 20,113.40 and 4,643.92 is: 6,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.32 : 20,113.40 = 4,643.92 : x
  2. Step 2: Convert to fraction form
    13,408.32/20,113.40 = 4,643.92/x
  3. Step 3: Cross multiply
    13,408.32x = 20,113.40 × 4,643.92
  4. Step 4: Simplify right side
    13,408.32x = 93,405,020.53
  5. Step 5: Solve for x
    x = 93,405,020.53/13,408.32
  6. Step 6: Final answer
    x = 6,966.20

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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.