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Finding the Fourth Proportional to 13,025.56, 17,975.28 and 7,646.94

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Solution

The fourth proportional to 13,025.56, 17,975.28 and 7,646.94 is: 10,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.56 : 17,975.28 = 7,646.94 : x
  2. Step 2: Convert to fraction form
    13,025.56/17,975.28 = 7,646.94/x
  3. Step 3: Cross multiply
    13,025.56x = 17,975.28 × 7,646.94
  4. Step 4: Simplify right side
    13,025.56x = 137,455,849.41
  5. Step 5: Solve for x
    x = 137,455,849.41/13,025.56
  6. Step 6: Final answer
    x = 10,552.78

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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.