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Finding the Fourth Proportional to 21,357.16, 32,021.94 and 8,885.78

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Solution

The fourth proportional to 21,357.16, 32,021.94 and 8,885.78 is: 13,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.16 : 32,021.94 = 8,885.78 : x
  2. Step 2: Convert to fraction form
    21,357.16/32,021.94 = 8,885.78/x
  3. Step 3: Cross multiply
    21,357.16x = 32,021.94 × 8,885.78
  4. Step 4: Simplify right side
    21,357.16x = 284,539,914.01
  5. Step 5: Solve for x
    x = 284,539,914.01/21,357.16
  6. Step 6: Final answer
    x = 13,322.93

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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.