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Finding the Fourth Proportional to 14,311.62, 21,456.63 and 9,382.50

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Solution

The fourth proportional to 14,311.62, 21,456.63 and 9,382.50 is: 14,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.62 : 21,456.63 = 9,382.50 : x
  2. Step 2: Convert to fraction form
    14,311.62/21,456.63 = 9,382.50/x
  3. Step 3: Cross multiply
    14,311.62x = 21,456.63 × 9,382.50
  4. Step 4: Simplify right side
    14,311.62x = 201,316,830.98
  5. Step 5: Solve for x
    x = 201,316,830.98/14,311.62
  6. Step 6: Final answer
    x = 14,066.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.