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Finding the Fourth Proportional to 12,753.96, 19,130.76 and 6,180.72

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Solution

The fourth proportional to 12,753.96, 19,130.76 and 6,180.72 is: 9,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.96 : 19,130.76 = 6,180.72 : x
  2. Step 2: Convert to fraction form
    12,753.96/19,130.76 = 6,180.72/x
  3. Step 3: Cross multiply
    12,753.96x = 19,130.76 × 6,180.72
  4. Step 4: Simplify right side
    12,753.96x = 118,241,870.95
  5. Step 5: Solve for x
    x = 118,241,870.95/12,753.96
  6. Step 6: Final answer
    x = 9,270.99

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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.