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Finding the Fourth Proportional to 14,188.02, 19,580.67 and 8,221.74

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Solution

The fourth proportional to 14,188.02, 19,580.67 and 8,221.74 is: 11,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.02 : 19,580.67 = 8,221.74 : x
  2. Step 2: Convert to fraction form
    14,188.02/19,580.67 = 8,221.74/x
  3. Step 3: Cross multiply
    14,188.02x = 19,580.67 × 8,221.74
  4. Step 4: Simplify right side
    14,188.02x = 160,987,177.77
  5. Step 5: Solve for x
    x = 160,987,177.77/14,188.02
  6. Step 6: Final answer
    x = 11,346.70

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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.