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Finding the Fourth Proportional to 12,686.40, 19,029.60 and 12,176.10

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Solution

The fourth proportional to 12,686.40, 19,029.60 and 12,176.10 is: 18,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.40 : 19,029.60 = 12,176.10 : x
  2. Step 2: Convert to fraction form
    12,686.40/19,029.60 = 12,176.10/x
  3. Step 3: Cross multiply
    12,686.40x = 19,029.60 × 12,176.10
  4. Step 4: Simplify right side
    12,686.40x = 231,706,312.56
  5. Step 5: Solve for x
    x = 231,706,312.56/12,686.40
  6. Step 6: Final answer
    x = 18,264.15

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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.