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Finding the Fourth Proportional to 12,533.80, 18,768.30 and 9,920.20

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Solution

The fourth proportional to 12,533.80, 18,768.30 and 9,920.20 is: 14,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.80 : 18,768.30 = 9,920.20 : x
  2. Step 2: Convert to fraction form
    12,533.80/18,768.30 = 9,920.20/x
  3. Step 3: Cross multiply
    12,533.80x = 18,768.30 × 9,920.20
  4. Step 4: Simplify right side
    12,533.80x = 186,185,289.66
  5. Step 5: Solve for x
    x = 186,185,289.66/12,533.80
  6. Step 6: Final answer
    x = 14,854.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.