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Finding the Fourth Proportional to 15,672.75, 23,518.85 and 9,102.03

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Solution

The fourth proportional to 15,672.75, 23,518.85 and 9,102.03 is: 13,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,672.75 : 23,518.85 = 9,102.03 : x
  2. Step 2: Convert to fraction form
    15,672.75/23,518.85 = 9,102.03/x
  3. Step 3: Cross multiply
    15,672.75x = 23,518.85 × 9,102.03
  4. Step 4: Simplify right side
    15,672.75x = 214,069,232.76
  5. Step 5: Solve for x
    x = 214,069,232.76/15,672.75
  6. Step 6: Final answer
    x = 13,658.69

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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.