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Finding the Fourth Proportional to 15,398.94, 23,098.37 and 5,538.21

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Solution

The fourth proportional to 15,398.94, 23,098.37 and 5,538.21 is: 8,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398.94 : 23,098.37 = 5,538.21 : x
  2. Step 2: Convert to fraction form
    15,398.94/23,098.37 = 5,538.21/x
  3. Step 3: Cross multiply
    15,398.94x = 23,098.37 × 5,538.21
  4. Step 4: Simplify right side
    15,398.94x = 127,923,509.41
  5. Step 5: Solve for x
    x = 127,923,509.41/15,398.94
  6. Step 6: Final answer
    x = 8,307.29

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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.