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Finding the Fourth Proportional to 21,573.42, 29,770.74 and 12,013.32

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Solution

The fourth proportional to 21,573.42, 29,770.74 and 12,013.32 is: 16,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.42 : 29,770.74 = 12,013.32 : x
  2. Step 2: Convert to fraction form
    21,573.42/29,770.74 = 12,013.32/x
  3. Step 3: Cross multiply
    21,573.42x = 29,770.74 × 12,013.32
  4. Step 4: Simplify right side
    21,573.42x = 357,645,426.26
  5. Step 5: Solve for x
    x = 357,645,426.26/21,573.42
  6. Step 6: Final answer
    x = 16,578.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.