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Finding the Fourth Proportional to 16,514.93, 24,772.10 and 6,653.96

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Solution

The fourth proportional to 16,514.93, 24,772.10 and 6,653.96 is: 9,980.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.93 : 24,772.10 = 6,653.96 : x
  2. Step 2: Convert to fraction form
    16,514.93/24,772.10 = 6,653.96/x
  3. Step 3: Cross multiply
    16,514.93x = 24,772.10 × 6,653.96
  4. Step 4: Simplify right side
    16,514.93x = 164,832,498.28
  5. Step 5: Solve for x
    x = 164,832,498.28/16,514.93
  6. Step 6: Final answer
    x = 9,980.82

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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.