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Finding the Fourth Proportional to 17,524.69, 26,298.88 and 7,658.28

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Solution

The fourth proportional to 17,524.69, 26,298.88 and 7,658.28 is: 11,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.69 : 26,298.88 = 7,658.28 : x
  2. Step 2: Convert to fraction form
    17,524.69/26,298.88 = 7,658.28/x
  3. Step 3: Cross multiply
    17,524.69x = 26,298.88 × 7,658.28
  4. Step 4: Simplify right side
    17,524.69x = 201,404,167.58
  5. Step 5: Solve for x
    x = 201,404,167.58/17,524.69
  6. Step 6: Final answer
    x = 11,492.60

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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.