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Finding the Fourth Proportional to 14,185.76, 19,576.48 and 7,898.28

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Solution

The fourth proportional to 14,185.76, 19,576.48 and 7,898.28 is: 10,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.76 : 19,576.48 = 7,898.28 : x
  2. Step 2: Convert to fraction form
    14,185.76/19,576.48 = 7,898.28/x
  3. Step 3: Cross multiply
    14,185.76x = 19,576.48 × 7,898.28
  4. Step 4: Simplify right side
    14,185.76x = 154,620,520.45
  5. Step 5: Solve for x
    x = 154,620,520.45/14,185.76
  6. Step 6: Final answer
    x = 10,899.70

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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.