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Finding the Fourth Proportional to 12,223.03, 16,849.36 and 9,565.81

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Solution

The fourth proportional to 12,223.03, 16,849.36 and 9,565.81 is: 13,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.03 : 16,849.36 = 9,565.81 : x
  2. Step 2: Convert to fraction form
    12,223.03/16,849.36 = 9,565.81/x
  3. Step 3: Cross multiply
    12,223.03x = 16,849.36 × 9,565.81
  4. Step 4: Simplify right side
    12,223.03x = 161,177,776.38
  5. Step 5: Solve for x
    x = 161,177,776.38/12,223.03
  6. Step 6: Final answer
    x = 13,186.40

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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.