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Finding the Fourth Proportional to 21,459.12, 32,176.80 and 7,412.64

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Solution

The fourth proportional to 21,459.12, 32,176.80 and 7,412.64 is: 11,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.12 : 32,176.80 = 7,412.64 : x
  2. Step 2: Convert to fraction form
    21,459.12/32,176.80 = 7,412.64/x
  3. Step 3: Cross multiply
    21,459.12x = 32,176.80 × 7,412.64
  4. Step 4: Simplify right side
    21,459.12x = 238,515,034.75
  5. Step 5: Solve for x
    x = 238,515,034.75/21,459.12
  6. Step 6: Final answer
    x = 11,114.86

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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.