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Finding the Fourth Proportional to 23,807.68, 32,855.64 and 13,196.64

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Solution

The fourth proportional to 23,807.68, 32,855.64 and 13,196.64 is: 18,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.68 : 32,855.64 = 13,196.64 : x
  2. Step 2: Convert to fraction form
    23,807.68/32,855.64 = 13,196.64/x
  3. Step 3: Cross multiply
    23,807.68x = 32,855.64 × 13,196.64
  4. Step 4: Simplify right side
    23,807.68x = 433,584,053.05
  5. Step 5: Solve for x
    x = 433,584,053.05/23,807.68
  6. Step 6: Final answer
    x = 18,211.94

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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.