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Finding the Fourth Proportional to 14,182.58, 19,567.50 and 8,212.70

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Solution

The fourth proportional to 14,182.58, 19,567.50 and 8,212.70 is: 11,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.58 : 19,567.50 = 8,212.70 : x
  2. Step 2: Convert to fraction form
    14,182.58/19,567.50 = 8,212.70/x
  3. Step 3: Cross multiply
    14,182.58x = 19,567.50 × 8,212.70
  4. Step 4: Simplify right side
    14,182.58x = 160,702,007.25
  5. Step 5: Solve for x
    x = 160,702,007.25/14,182.58
  6. Step 6: Final answer
    x = 11,330.94

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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.