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Finding the Fourth Proportional to 14,186.16, 19,576.84 and 7,898.52

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Solution

The fourth proportional to 14,186.16, 19,576.84 and 7,898.52 is: 10,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.16 : 19,576.84 = 7,898.52 : x
  2. Step 2: Convert to fraction form
    14,186.16/19,576.84 = 7,898.52/x
  3. Step 3: Cross multiply
    14,186.16x = 19,576.84 × 7,898.52
  4. Step 4: Simplify right side
    14,186.16x = 154,628,062.28
  5. Step 5: Solve for x
    x = 154,628,062.28/14,186.16
  6. Step 6: Final answer
    x = 10,899.92

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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.