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Finding the Fourth Proportional to 12,829.20, 17,683.56 and 12,829.20

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Solution

The fourth proportional to 12,829.20, 17,683.56 and 12,829.20 is: 17,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.20 : 17,683.56 = 12,829.20 : x
  2. Step 2: Convert to fraction form
    12,829.20/17,683.56 = 12,829.20/x
  3. Step 3: Cross multiply
    12,829.20x = 17,683.56 × 12,829.20
  4. Step 4: Simplify right side
    12,829.20x = 226,865,927.95
  5. Step 5: Solve for x
    x = 226,865,927.95/12,829.20
  6. Step 6: Final answer
    x = 17,683.56

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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.