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Finding the Fourth Proportional to 23,466, 32,382.36 and 12,855.36

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Solution

The fourth proportional to 23,466, 32,382.36 and 12,855.36 is: 17,740.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466 : 32,382.36 = 12,855.36 : x
  2. Step 2: Convert to fraction form
    23,466/32,382.36 = 12,855.36/x
  3. Step 3: Cross multiply
    23,466x = 32,382.36 × 12,855.36
  4. Step 4: Simplify right side
    23,466x = 416,286,895.45
  5. Step 5: Solve for x
    x = 416,286,895.45/23,466
  6. Step 6: Final answer
    x = 17,740.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.