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Finding the Fourth Proportional to 17,602.86, 24,292.01 and 9,536.60

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Solution

The fourth proportional to 17,602.86, 24,292.01 and 9,536.60 is: 13,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.86 : 24,292.01 = 9,536.60 : x
  2. Step 2: Convert to fraction form
    17,602.86/24,292.01 = 9,536.60/x
  3. Step 3: Cross multiply
    17,602.86x = 24,292.01 × 9,536.60
  4. Step 4: Simplify right side
    17,602.86x = 231,663,267.14
  5. Step 5: Solve for x
    x = 231,663,267.14/17,602.86
  6. Step 6: Final answer
    x = 13,160.54

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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.