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Finding the Fourth Proportional to 16,412.04, 22,643.28 and 9,697.86

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Solution

The fourth proportional to 16,412.04, 22,643.28 and 9,697.86 is: 13,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.04 : 22,643.28 = 9,697.86 : x
  2. Step 2: Convert to fraction form
    16,412.04/22,643.28 = 9,697.86/x
  3. Step 3: Cross multiply
    16,412.04x = 22,643.28 × 9,697.86
  4. Step 4: Simplify right side
    16,412.04x = 219,591,359.38
  5. Step 5: Solve for x
    x = 219,591,359.38/16,412.04
  6. Step 6: Final answer
    x = 13,379.89

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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.