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Finding the Fourth Proportional to 17,807.30, 24,547.82 and 13,083.38

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Solution

The fourth proportional to 17,807.30, 24,547.82 and 13,083.38 is: 18,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.30 : 24,547.82 = 13,083.38 : x
  2. Step 2: Convert to fraction form
    17,807.30/24,547.82 = 13,083.38/x
  3. Step 3: Cross multiply
    17,807.30x = 24,547.82 × 13,083.38
  4. Step 4: Simplify right side
    17,807.30x = 321,168,457.23
  5. Step 5: Solve for x
    x = 321,168,457.23/17,807.30
  6. Step 6: Final answer
    x = 18,035.78

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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.