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Finding the Fourth Proportional to 30,565.72, 42,188.19 and 18,635.63

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Solution

The fourth proportional to 30,565.72, 42,188.19 and 18,635.63 is: 25,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.72 : 42,188.19 = 18,635.63 : x
  2. Step 2: Convert to fraction form
    30,565.72/42,188.19 = 18,635.63/x
  3. Step 3: Cross multiply
    30,565.72x = 42,188.19 × 18,635.63
  4. Step 4: Simplify right side
    30,565.72x = 786,203,499.21
  5. Step 5: Solve for x
    x = 786,203,499.21/30,565.72
  6. Step 6: Final answer
    x = 25,721.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.