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Finding the Fourth Proportional to 21,573.32, 32,347.80 and 8,410.64

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Solution

The fourth proportional to 21,573.32, 32,347.80 and 8,410.64 is: 12,611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.32 : 32,347.80 = 8,410.64 : x
  2. Step 2: Convert to fraction form
    21,573.32/32,347.80 = 8,410.64/x
  3. Step 3: Cross multiply
    21,573.32x = 32,347.80 × 8,410.64
  4. Step 4: Simplify right side
    21,573.32x = 272,065,700.59
  5. Step 5: Solve for x
    x = 272,065,700.59/21,573.32
  6. Step 6: Final answer
    x = 12,611.21

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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.