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Finding the Fourth Proportional to 14,185.32, 19,576.44 and 7,897.56

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Solution

The fourth proportional to 14,185.32, 19,576.44 and 7,897.56 is: 10,899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.32 : 19,576.44 = 7,897.56 : x
  2. Step 2: Convert to fraction form
    14,185.32/19,576.44 = 7,897.56/x
  3. Step 3: Cross multiply
    14,185.32x = 19,576.44 × 7,897.56
  4. Step 4: Simplify right side
    14,185.32x = 154,606,109.49
  5. Step 5: Solve for x
    x = 154,606,109.49/14,185.32
  6. Step 6: Final answer
    x = 10,899.02

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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.