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Finding the Fourth Proportional to 17,145.38, 23,663.65 and 10,071.80

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Solution

The fourth proportional to 17,145.38, 23,663.65 and 10,071.80 is: 13,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,145.38 : 23,663.65 = 10,071.80 : x
  2. Step 2: Convert to fraction form
    17,145.38/23,663.65 = 10,071.80/x
  3. Step 3: Cross multiply
    17,145.38x = 23,663.65 × 10,071.80
  4. Step 4: Simplify right side
    17,145.38x = 238,335,444.34
  5. Step 5: Solve for x
    x = 238,335,444.34/17,145.38
  6. Step 6: Final answer
    x = 13,900.86

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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.