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Finding the Fourth Proportional to 30,567.70, 42,182.89 and 17,138.91

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Solution

The fourth proportional to 30,567.70, 42,182.89 and 17,138.91 is: 23,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,567.70 : 42,182.89 = 17,138.91 : x
  2. Step 2: Convert to fraction form
    30,567.70/42,182.89 = 17,138.91/x
  3. Step 3: Cross multiply
    30,567.70x = 42,182.89 × 17,138.91
  4. Step 4: Simplify right side
    30,567.70x = 722,968,870.59
  5. Step 5: Solve for x
    x = 722,968,870.59/30,567.70
  6. Step 6: Final answer
    x = 23,651.40

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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.