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Finding the Fourth Proportional to 14,378.60, 19,842.72 and 8,004.86

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Solution

The fourth proportional to 14,378.60, 19,842.72 and 8,004.86 is: 11,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.60 : 19,842.72 = 8,004.86 : x
  2. Step 2: Convert to fraction form
    14,378.60/19,842.72 = 8,004.86/x
  3. Step 3: Cross multiply
    14,378.60x = 19,842.72 × 8,004.86
  4. Step 4: Simplify right side
    14,378.60x = 158,838,096.41
  5. Step 5: Solve for x
    x = 158,838,096.41/14,378.60
  6. Step 6: Final answer
    x = 11,046.84

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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.