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Finding the Fourth Proportional to 21,567.96, 32,343.88 and 7,524.38

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Solution

The fourth proportional to 21,567.96, 32,343.88 and 7,524.38 is: 11,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.96 : 32,343.88 = 7,524.38 : x
  2. Step 2: Convert to fraction form
    21,567.96/32,343.88 = 7,524.38/x
  3. Step 3: Cross multiply
    21,567.96x = 32,343.88 × 7,524.38
  4. Step 4: Simplify right side
    21,567.96x = 243,367,643.79
  5. Step 5: Solve for x
    x = 243,367,643.79/21,567.96
  6. Step 6: Final answer
    x = 11,283.76

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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.