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Finding the Fourth Proportional to 18,567.80, 27,785.16 and 16,077.57

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Solution

The fourth proportional to 18,567.80, 27,785.16 and 16,077.57 is: 24,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.80 : 27,785.16 = 16,077.57 : x
  2. Step 2: Convert to fraction form
    18,567.80/27,785.16 = 16,077.57/x
  3. Step 3: Cross multiply
    18,567.80x = 27,785.16 × 16,077.57
  4. Step 4: Simplify right side
    18,567.80x = 446,717,774.47
  5. Step 5: Solve for x
    x = 446,717,774.47/18,567.80
  6. Step 6: Final answer
    x = 24,058.74

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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.