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Finding the Fourth Proportional to 17,784.35, 24,538.85 and 10,711.22

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Solution

The fourth proportional to 17,784.35, 24,538.85 and 10,711.22 is: 14,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.35 : 24,538.85 = 10,711.22 : x
  2. Step 2: Convert to fraction form
    17,784.35/24,538.85 = 10,711.22/x
  3. Step 3: Cross multiply
    17,784.35x = 24,538.85 × 10,711.22
  4. Step 4: Simplify right side
    17,784.35x = 262,841,028.69
  5. Step 5: Solve for x
    x = 262,841,028.69/17,784.35
  6. Step 6: Final answer
    x = 14,779.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.