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Finding the Fourth Proportional to 14,522.46, 21,749.13 and 8,353.50

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Solution

The fourth proportional to 14,522.46, 21,749.13 and 8,353.50 is: 12,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,522.46 : 21,749.13 = 8,353.50 : x
  2. Step 2: Convert to fraction form
    14,522.46/21,749.13 = 8,353.50/x
  3. Step 3: Cross multiply
    14,522.46x = 21,749.13 × 8,353.50
  4. Step 4: Simplify right side
    14,522.46x = 181,681,357.46
  5. Step 5: Solve for x
    x = 181,681,357.46/14,522.46
  6. Step 6: Final answer
    x = 12,510.37

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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.