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Finding the Fourth Proportional to 14,496.77, 20,004.98 and 8,209.15

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Solution

The fourth proportional to 14,496.77, 20,004.98 and 8,209.15 is: 11,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.77 : 20,004.98 = 8,209.15 : x
  2. Step 2: Convert to fraction form
    14,496.77/20,004.98 = 8,209.15/x
  3. Step 3: Cross multiply
    14,496.77x = 20,004.98 × 8,209.15
  4. Step 4: Simplify right side
    14,496.77x = 164,223,790.51
  5. Step 5: Solve for x
    x = 164,223,790.51/14,496.77
  6. Step 6: Final answer
    x = 11,328.30

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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.