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Finding the Fourth Proportional to 14,893.74, 22,346.39 and 6,567.84

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Solution

The fourth proportional to 14,893.74, 22,346.39 and 6,567.84 is: 9,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.74 : 22,346.39 = 6,567.84 : x
  2. Step 2: Convert to fraction form
    14,893.74/22,346.39 = 6,567.84/x
  3. Step 3: Cross multiply
    14,893.74x = 22,346.39 × 6,567.84
  4. Step 4: Simplify right side
    14,893.74x = 146,767,530.52
  5. Step 5: Solve for x
    x = 146,767,530.52/14,893.74
  6. Step 6: Final answer
    x = 9,854.31

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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.