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Finding the Fourth Proportional to 14,896.40, 22,312.20 and 9,042.80

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Solution

The fourth proportional to 14,896.40, 22,312.20 and 9,042.80 is: 13,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.40 : 22,312.20 = 9,042.80 : x
  2. Step 2: Convert to fraction form
    14,896.40/22,312.20 = 9,042.80/x
  3. Step 3: Cross multiply
    14,896.40x = 22,312.20 × 9,042.80
  4. Step 4: Simplify right side
    14,896.40x = 201,764,762.16
  5. Step 5: Solve for x
    x = 201,764,762.16/14,896.40
  6. Step 6: Final answer
    x = 13,544.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.