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Finding the Fourth Proportional to 14,902.64, 20,562.24 and 8,935.40

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Solution

The fourth proportional to 14,902.64, 20,562.24 and 8,935.40 is: 12,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.64 : 20,562.24 = 8,935.40 : x
  2. Step 2: Convert to fraction form
    14,902.64/20,562.24 = 8,935.40/x
  3. Step 3: Cross multiply
    14,902.64x = 20,562.24 × 8,935.40
  4. Step 4: Simplify right side
    14,902.64x = 183,731,839.30
  5. Step 5: Solve for x
    x = 183,731,839.30/14,902.64
  6. Step 6: Final answer
    x = 12,328.81

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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.