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Finding the Fourth Proportional to 10,169.56, 15,254.32 and 6,681.60

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Solution

The fourth proportional to 10,169.56, 15,254.32 and 6,681.60 is: 10,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.56 : 15,254.32 = 6,681.60 : x
  2. Step 2: Convert to fraction form
    10,169.56/15,254.32 = 6,681.60/x
  3. Step 3: Cross multiply
    10,169.56x = 15,254.32 × 6,681.60
  4. Step 4: Simplify right side
    10,169.56x = 101,923,264.51
  5. Step 5: Solve for x
    x = 101,923,264.51/10,169.56
  6. Step 6: Final answer
    x = 10,022.39

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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.