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Finding the Fourth Proportional to 14,727.58, 20,322.20 and 9,957.90

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Solution

The fourth proportional to 14,727.58, 20,322.20 and 9,957.90 is: 13,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727.58 : 20,322.20 = 9,957.90 : x
  2. Step 2: Convert to fraction form
    14,727.58/20,322.20 = 9,957.90/x
  3. Step 3: Cross multiply
    14,727.58x = 20,322.20 × 9,957.90
  4. Step 4: Simplify right side
    14,727.58x = 202,366,435.38
  5. Step 5: Solve for x
    x = 202,366,435.38/14,727.58
  6. Step 6: Final answer
    x = 13,740.64

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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.