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Finding the Fourth Proportional to 12,228.60, 16,845.24 and 10,430.22

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Solution

The fourth proportional to 12,228.60, 16,845.24 and 10,430.22 is: 14,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.60 : 16,845.24 = 10,430.22 : x
  2. Step 2: Convert to fraction form
    12,228.60/16,845.24 = 10,430.22/x
  3. Step 3: Cross multiply
    12,228.60x = 16,845.24 × 10,430.22
  4. Step 4: Simplify right side
    12,228.60x = 175,699,559.15
  5. Step 5: Solve for x
    x = 175,699,559.15/12,228.60
  6. Step 6: Final answer
    x = 14,367.92

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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.