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Finding the Fourth Proportional to 14,291.94, 19,723.48 and 8,322.65

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Solution

The fourth proportional to 14,291.94, 19,723.48 and 8,322.65 is: 11,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.94 : 19,723.48 = 8,322.65 : x
  2. Step 2: Convert to fraction form
    14,291.94/19,723.48 = 8,322.65/x
  3. Step 3: Cross multiply
    14,291.94x = 19,723.48 × 8,322.65
  4. Step 4: Simplify right side
    14,291.94x = 164,151,522.20
  5. Step 5: Solve for x
    x = 164,151,522.20/14,291.94
  6. Step 6: Final answer
    x = 11,485.60

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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.