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Finding the Fourth Proportional to 16,547.97, 24,808 and 7,180.93

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Solution

The fourth proportional to 16,547.97, 24,808 and 7,180.93 is: 10,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.97 : 24,808 = 7,180.93 : x
  2. Step 2: Convert to fraction form
    16,547.97/24,808 = 7,180.93/x
  3. Step 3: Cross multiply
    16,547.97x = 24,808 × 7,180.93
  4. Step 4: Simplify right side
    16,547.97x = 178,144,511.44
  5. Step 5: Solve for x
    x = 178,144,511.44/16,547.97
  6. Step 6: Final answer
    x = 10,765.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.