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Finding the Fourth Proportional to 20,565.69, 30,897.80 and 13,184.56

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Solution

The fourth proportional to 20,565.69, 30,897.80 and 13,184.56 is: 19,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.69 : 30,897.80 = 13,184.56 : x
  2. Step 2: Convert to fraction form
    20,565.69/30,897.80 = 13,184.56/x
  3. Step 3: Cross multiply
    20,565.69x = 30,897.80 × 13,184.56
  4. Step 4: Simplify right side
    20,565.69x = 407,373,897.97
  5. Step 5: Solve for x
    x = 407,373,897.97/20,565.69
  6. Step 6: Final answer
    x = 19,808.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.