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Finding the Fourth Proportional to 19,969.20, 29,957.40 and 8,283.60

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Solution

The fourth proportional to 19,969.20, 29,957.40 and 8,283.60 is: 12,426.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.20 : 29,957.40 = 8,283.60 : x
  2. Step 2: Convert to fraction form
    19,969.20/29,957.40 = 8,283.60/x
  3. Step 3: Cross multiply
    19,969.20x = 29,957.40 × 8,283.60
  4. Step 4: Simplify right side
    19,969.20x = 248,155,118.64
  5. Step 5: Solve for x
    x = 248,155,118.64/19,969.20
  6. Step 6: Final answer
    x = 12,426.89

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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.