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Finding the Fourth Proportional to 17,222.08, 23,770.64 and 9,774.40

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Solution

The fourth proportional to 17,222.08, 23,770.64 and 9,774.40 is: 13,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.08 : 23,770.64 = 9,774.40 : x
  2. Step 2: Convert to fraction form
    17,222.08/23,770.64 = 9,774.40/x
  3. Step 3: Cross multiply
    17,222.08x = 23,770.64 × 9,774.40
  4. Step 4: Simplify right side
    17,222.08x = 232,343,743.62
  5. Step 5: Solve for x
    x = 232,343,743.62/17,222.08
  6. Step 6: Final answer
    x = 13,491.04

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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.