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Finding the Fourth Proportional to 14,756.01, 20,362.61 and 8,382.45

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Solution

The fourth proportional to 14,756.01, 20,362.61 and 8,382.45 is: 11,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.01 : 20,362.61 = 8,382.45 : x
  2. Step 2: Convert to fraction form
    14,756.01/20,362.61 = 8,382.45/x
  3. Step 3: Cross multiply
    14,756.01x = 20,362.61 × 8,382.45
  4. Step 4: Simplify right side
    14,756.01x = 170,688,519.40
  5. Step 5: Solve for x
    x = 170,688,519.40/14,756.01
  6. Step 6: Final answer
    x = 11,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.