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Finding the Fourth Proportional to 16,315.34, 24,455.82 and 7,556

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Solution

The fourth proportional to 16,315.34, 24,455.82 and 7,556 is: 11,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.34 : 24,455.82 = 7,556 : x
  2. Step 2: Convert to fraction form
    16,315.34/24,455.82 = 7,556/x
  3. Step 3: Cross multiply
    16,315.34x = 24,455.82 × 7,556
  4. Step 4: Simplify right side
    16,315.34x = 184,788,175.92
  5. Step 5: Solve for x
    x = 184,788,175.92/16,315.34
  6. Step 6: Final answer
    x = 11,326.04

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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.