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Finding the Fourth Proportional to 16,340.61, 24,514.86 and 4,653.82

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Solution

The fourth proportional to 16,340.61, 24,514.86 and 4,653.82 is: 6,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,340.61 : 24,514.86 = 4,653.82 : x
  2. Step 2: Convert to fraction form
    16,340.61/24,514.86 = 4,653.82/x
  3. Step 3: Cross multiply
    16,340.61x = 24,514.86 × 4,653.82
  4. Step 4: Simplify right side
    16,340.61x = 114,087,745.77
  5. Step 5: Solve for x
    x = 114,087,745.77/16,340.61
  6. Step 6: Final answer
    x = 6,981.85

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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.