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Finding the Fourth Proportional to 14,880.94, 20,535.78 and 8,166.64

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Solution

The fourth proportional to 14,880.94, 20,535.78 and 8,166.64 is: 11,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,880.94 : 20,535.78 = 8,166.64 : x
  2. Step 2: Convert to fraction form
    14,880.94/20,535.78 = 8,166.64/x
  3. Step 3: Cross multiply
    14,880.94x = 20,535.78 × 8,166.64
  4. Step 4: Simplify right side
    14,880.94x = 167,708,322.38
  5. Step 5: Solve for x
    x = 167,708,322.38/14,880.94
  6. Step 6: Final answer
    x = 11,270.01

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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.