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Finding the Fourth Proportional to 19,666.38, 27,113.06 and 19,054.86

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Solution

The fourth proportional to 19,666.38, 27,113.06 and 19,054.86 is: 26,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.38 : 27,113.06 = 19,054.86 : x
  2. Step 2: Convert to fraction form
    19,666.38/27,113.06 = 19,054.86/x
  3. Step 3: Cross multiply
    19,666.38x = 27,113.06 × 19,054.86
  4. Step 4: Simplify right side
    19,666.38x = 516,635,562.47
  5. Step 5: Solve for x
    x = 516,635,562.47/19,666.38
  6. Step 6: Final answer
    x = 26,269.99

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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.