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Finding the Fourth Proportional to 12,712.80, 19,069.20 and 11,416.80

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Solution

The fourth proportional to 12,712.80, 19,069.20 and 11,416.80 is: 17,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.80 : 19,069.20 = 11,416.80 : x
  2. Step 2: Convert to fraction form
    12,712.80/19,069.20 = 11,416.80/x
  3. Step 3: Cross multiply
    12,712.80x = 19,069.20 × 11,416.80
  4. Step 4: Simplify right side
    12,712.80x = 217,709,242.56
  5. Step 5: Solve for x
    x = 217,709,242.56/12,712.80
  6. Step 6: Final answer
    x = 17,125.20

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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.