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Finding the Fourth Proportional to 21,573.27, 32,290.65 and 11,564.10

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Solution

The fourth proportional to 21,573.27, 32,290.65 and 11,564.10 is: 17,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.27 : 32,290.65 = 11,564.10 : x
  2. Step 2: Convert to fraction form
    21,573.27/32,290.65 = 11,564.10/x
  3. Step 3: Cross multiply
    21,573.27x = 32,290.65 × 11,564.10
  4. Step 4: Simplify right side
    21,573.27x = 373,412,305.67
  5. Step 5: Solve for x
    x = 373,412,305.67/21,573.27
  6. Step 6: Final answer
    x = 17,309.03

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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.