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Finding the Fourth Proportional to 25,670.88, 38,496.60 and 10,080

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Solution

The fourth proportional to 25,670.88, 38,496.60 and 10,080 is: 15,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670.88 : 38,496.60 = 10,080 : x
  2. Step 2: Convert to fraction form
    25,670.88/38,496.60 = 10,080/x
  3. Step 3: Cross multiply
    25,670.88x = 38,496.60 × 10,080
  4. Step 4: Simplify right side
    25,670.88x = 388,045,728
  5. Step 5: Solve for x
    x = 388,045,728/25,670.88
  6. Step 6: Final answer
    x = 15,116.18

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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.