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Finding the Fourth Proportional to 18,567.40, 27,786 and 13,308.20

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Solution

The fourth proportional to 18,567.40, 27,786 and 13,308.20 is: 19,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.40 : 27,786 = 13,308.20 : x
  2. Step 2: Convert to fraction form
    18,567.40/27,786 = 13,308.20/x
  3. Step 3: Cross multiply
    18,567.40x = 27,786 × 13,308.20
  4. Step 4: Simplify right side
    18,567.40x = 369,781,645.20
  5. Step 5: Solve for x
    x = 369,781,645.20/18,567.40
  6. Step 6: Final answer
    x = 19,915.64

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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.