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Finding the Fourth Proportional to 16,999, 23,460.82 and 9,547

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Solution

The fourth proportional to 16,999, 23,460.82 and 9,547 is: 13,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999 : 23,460.82 = 9,547 : x
  2. Step 2: Convert to fraction form
    16,999/23,460.82 = 9,547/x
  3. Step 3: Cross multiply
    16,999x = 23,460.82 × 9,547
  4. Step 4: Simplify right side
    16,999x = 223,980,448.54
  5. Step 5: Solve for x
    x = 223,980,448.54/16,999
  6. Step 6: Final answer
    x = 13,176.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.