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Finding the Fourth Proportional to 17,302.69, 23,875.15 and 9,747.51

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Solution

The fourth proportional to 17,302.69, 23,875.15 and 9,747.51 is: 13,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.69 : 23,875.15 = 9,747.51 : x
  2. Step 2: Convert to fraction form
    17,302.69/23,875.15 = 9,747.51/x
  3. Step 3: Cross multiply
    17,302.69x = 23,875.15 × 9,747.51
  4. Step 4: Simplify right side
    17,302.69x = 232,723,263.38
  5. Step 5: Solve for x
    x = 232,723,263.38/17,302.69
  6. Step 6: Final answer
    x = 13,450.12

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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.