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Finding the Fourth Proportional to 13,423.14, 20,118.24 and 4,647.87

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Solution

The fourth proportional to 13,423.14, 20,118.24 and 4,647.87 is: 6,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.14 : 20,118.24 = 4,647.87 : x
  2. Step 2: Convert to fraction form
    13,423.14/20,118.24 = 4,647.87/x
  3. Step 3: Cross multiply
    13,423.14x = 20,118.24 × 4,647.87
  4. Step 4: Simplify right side
    13,423.14x = 93,506,964.15
  5. Step 5: Solve for x
    x = 93,506,964.15/13,423.14
  6. Step 6: Final answer
    x = 6,966.10

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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.