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Finding the Fourth Proportional to 23,538.88, 35,317.48 and 10,382

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Solution

The fourth proportional to 23,538.88, 35,317.48 and 10,382 is: 15,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.88 : 35,317.48 = 10,382 : x
  2. Step 2: Convert to fraction form
    23,538.88/35,317.48 = 10,382/x
  3. Step 3: Cross multiply
    23,538.88x = 35,317.48 × 10,382
  4. Step 4: Simplify right side
    23,538.88x = 366,666,077.36
  5. Step 5: Solve for x
    x = 366,666,077.36/23,538.88
  6. Step 6: Final answer
    x = 15,577.04

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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.