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Finding the Fourth Proportional to 14,188.59, 19,580.28 and 8,221.41

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Solution

The fourth proportional to 14,188.59, 19,580.28 and 8,221.41 is: 11,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.59 : 19,580.28 = 8,221.41 : x
  2. Step 2: Convert to fraction form
    14,188.59/19,580.28 = 8,221.41/x
  3. Step 3: Cross multiply
    14,188.59x = 19,580.28 × 8,221.41
  4. Step 4: Simplify right side
    14,188.59x = 160,977,509.79
  5. Step 5: Solve for x
    x = 160,977,509.79/14,188.59
  6. Step 6: Final answer
    x = 11,345.56

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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.