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Finding the Fourth Proportional to 21,455.88, 32,175.93 and 7,412.31

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Solution

The fourth proportional to 21,455.88, 32,175.93 and 7,412.31 is: 11,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,455.88 : 32,175.93 = 7,412.31 : x
  2. Step 2: Convert to fraction form
    21,455.88/32,175.93 = 7,412.31/x
  3. Step 3: Cross multiply
    21,455.88x = 32,175.93 × 7,412.31
  4. Step 4: Simplify right side
    21,455.88x = 238,497,967.70
  5. Step 5: Solve for x
    x = 238,497,967.70/21,455.88
  6. Step 6: Final answer
    x = 11,115.74

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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.