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Finding the Fourth Proportional to 14,137.60, 21,206.40 and 8,208.40

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Solution

The fourth proportional to 14,137.60, 21,206.40 and 8,208.40 is: 12,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.60 : 21,206.40 = 8,208.40 : x
  2. Step 2: Convert to fraction form
    14,137.60/21,206.40 = 8,208.40/x
  3. Step 3: Cross multiply
    14,137.60x = 21,206.40 × 8,208.40
  4. Step 4: Simplify right side
    14,137.60x = 174,070,613.76
  5. Step 5: Solve for x
    x = 174,070,613.76/14,137.60
  6. Step 6: Final answer
    x = 12,312.60

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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.