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Finding the Fourth Proportional to 15,475.98, 23,260.74 and 10,228.98

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Solution

The fourth proportional to 15,475.98, 23,260.74 and 10,228.98 is: 15,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,475.98 : 23,260.74 = 10,228.98 : x
  2. Step 2: Convert to fraction form
    15,475.98/23,260.74 = 10,228.98/x
  3. Step 3: Cross multiply
    15,475.98x = 23,260.74 × 10,228.98
  4. Step 4: Simplify right side
    15,475.98x = 237,933,644.25
  5. Step 5: Solve for x
    x = 237,933,644.25/15,475.98
  6. Step 6: Final answer
    x = 15,374.38

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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.