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Finding the Fourth Proportional to 21,485.32, 32,227.47 and 12,656.64

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Solution

The fourth proportional to 21,485.32, 32,227.47 and 12,656.64 is: 18,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485.32 : 32,227.47 = 12,656.64 : x
  2. Step 2: Convert to fraction form
    21,485.32/32,227.47 = 12,656.64/x
  3. Step 3: Cross multiply
    21,485.32x = 32,227.47 × 12,656.64
  4. Step 4: Simplify right side
    21,485.32x = 407,891,425.47
  5. Step 5: Solve for x
    x = 407,891,425.47/21,485.32
  6. Step 6: Final answer
    x = 18,984.66

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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.