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Finding the Fourth Proportional to 14,430.50, 19,914.09 and 8,142.74

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Solution

The fourth proportional to 14,430.50, 19,914.09 and 8,142.74 is: 11,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.50 : 19,914.09 = 8,142.74 : x
  2. Step 2: Convert to fraction form
    14,430.50/19,914.09 = 8,142.74/x
  3. Step 3: Cross multiply
    14,430.50x = 19,914.09 × 8,142.74
  4. Step 4: Simplify right side
    14,430.50x = 162,155,257.21
  5. Step 5: Solve for x
    x = 162,155,257.21/14,430.50
  6. Step 6: Final answer
    x = 11,236.98

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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.