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Finding the Fourth Proportional to 15,681.62, 23,529 and 9,763.46

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Solution

The fourth proportional to 15,681.62, 23,529 and 9,763.46 is: 14,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.62 : 23,529 = 9,763.46 : x
  2. Step 2: Convert to fraction form
    15,681.62/23,529 = 9,763.46/x
  3. Step 3: Cross multiply
    15,681.62x = 23,529 × 9,763.46
  4. Step 4: Simplify right side
    15,681.62x = 229,724,450.34
  5. Step 5: Solve for x
    x = 229,724,450.34/15,681.62
  6. Step 6: Final answer
    x = 14,649.28

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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.