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Finding the Fourth Proportional to 16,407.64, 24,597.46 and 7,519.96

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Solution

The fourth proportional to 16,407.64, 24,597.46 and 7,519.96 is: 11,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.64 : 24,597.46 = 7,519.96 : x
  2. Step 2: Convert to fraction form
    16,407.64/24,597.46 = 7,519.96/x
  3. Step 3: Cross multiply
    16,407.64x = 24,597.46 × 7,519.96
  4. Step 4: Simplify right side
    16,407.64x = 184,971,915.30
  5. Step 5: Solve for x
    x = 184,971,915.30/16,407.64
  6. Step 6: Final answer
    x = 11,273.52

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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.