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Finding the Fourth Proportional to 17,602.96, 24,292.76 and 9,645.52

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Solution

The fourth proportional to 17,602.96, 24,292.76 and 9,645.52 is: 13,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.96 : 24,292.76 = 9,645.52 : x
  2. Step 2: Convert to fraction form
    17,602.96/24,292.76 = 9,645.52/x
  3. Step 3: Cross multiply
    17,602.96x = 24,292.76 × 9,645.52
  4. Step 4: Simplify right side
    17,602.96x = 234,316,302.44
  5. Step 5: Solve for x
    x = 234,316,302.44/17,602.96
  6. Step 6: Final answer
    x = 13,311.19

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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.