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Finding the Fourth Proportional to 14,430.02, 19,913.43 and 8,142.41

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Solution

The fourth proportional to 14,430.02, 19,913.43 and 8,142.41 is: 11,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.02 : 19,913.43 = 8,142.41 : x
  2. Step 2: Convert to fraction form
    14,430.02/19,913.43 = 8,142.41/x
  3. Step 3: Cross multiply
    14,430.02x = 19,913.43 × 8,142.41
  4. Step 4: Simplify right side
    14,430.02x = 162,143,311.57
  5. Step 5: Solve for x
    x = 162,143,311.57/14,430.02
  6. Step 6: Final answer
    x = 11,236.53

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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.