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Finding the Fourth Proportional to 19,853.80, 29,780.70 and 16,646.20

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Solution

The fourth proportional to 19,853.80, 29,780.70 and 16,646.20 is: 24,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.80 : 29,780.70 = 16,646.20 : x
  2. Step 2: Convert to fraction form
    19,853.80/29,780.70 = 16,646.20/x
  3. Step 3: Cross multiply
    19,853.80x = 29,780.70 × 16,646.20
  4. Step 4: Simplify right side
    19,853.80x = 495,735,488.34
  5. Step 5: Solve for x
    x = 495,735,488.34/19,853.80
  6. Step 6: Final answer
    x = 24,969.30

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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.