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Finding the Fourth Proportional to 12,102.90, 18,156.78 and 4,707.20

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Solution

The fourth proportional to 12,102.90, 18,156.78 and 4,707.20 is: 7,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.90 : 18,156.78 = 4,707.20 : x
  2. Step 2: Convert to fraction form
    12,102.90/18,156.78 = 4,707.20/x
  3. Step 3: Cross multiply
    12,102.90x = 18,156.78 × 4,707.20
  4. Step 4: Simplify right side
    12,102.90x = 85,467,594.82
  5. Step 5: Solve for x
    x = 85,467,594.82/12,102.90
  6. Step 6: Final answer
    x = 7,061.75

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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.