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Finding the Fourth Proportional to 14,326.10, 21,482.10 and 8,414.49

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Solution

The fourth proportional to 14,326.10, 21,482.10 and 8,414.49 is: 12,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.10 : 21,482.10 = 8,414.49 : x
  2. Step 2: Convert to fraction form
    14,326.10/21,482.10 = 8,414.49/x
  3. Step 3: Cross multiply
    14,326.10x = 21,482.10 × 8,414.49
  4. Step 4: Simplify right side
    14,326.10x = 180,760,915.63
  5. Step 5: Solve for x
    x = 180,760,915.63/14,326.10
  6. Step 6: Final answer
    x = 12,617.60

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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.