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Finding the Fourth Proportional to 21,419.88, 32,124.65 and 8,263.86

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Solution

The fourth proportional to 21,419.88, 32,124.65 and 8,263.86 is: 12,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,419.88 : 32,124.65 = 8,263.86 : x
  2. Step 2: Convert to fraction form
    21,419.88/32,124.65 = 8,263.86/x
  3. Step 3: Cross multiply
    21,419.88x = 32,124.65 × 8,263.86
  4. Step 4: Simplify right side
    21,419.88x = 265,473,568.83
  5. Step 5: Solve for x
    x = 265,473,568.83/21,419.88
  6. Step 6: Final answer
    x = 12,393.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.