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Finding the Fourth Proportional to 15,142.25, 22,713.58 and 4,754

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Solution

The fourth proportional to 15,142.25, 22,713.58 and 4,754 is: 7,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.25 : 22,713.58 = 4,754 : x
  2. Step 2: Convert to fraction form
    15,142.25/22,713.58 = 4,754/x
  3. Step 3: Cross multiply
    15,142.25x = 22,713.58 × 4,754
  4. Step 4: Simplify right side
    15,142.25x = 107,980,359.32
  5. Step 5: Solve for x
    x = 107,980,359.32/15,142.25
  6. Step 6: Final answer
    x = 7,131.06

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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.