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Finding the Fourth Proportional to 14,493.60, 20,001.12 and 8,206.08

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Solution

The fourth proportional to 14,493.60, 20,001.12 and 8,206.08 is: 11,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.60 : 20,001.12 = 8,206.08 : x
  2. Step 2: Convert to fraction form
    14,493.60/20,001.12 = 8,206.08/x
  3. Step 3: Cross multiply
    14,493.60x = 20,001.12 × 8,206.08
  4. Step 4: Simplify right side
    14,493.60x = 164,130,790.81
  5. Step 5: Solve for x
    x = 164,130,790.81/14,493.60
  6. Step 6: Final answer
    x = 11,324.36

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1.5x scale

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.