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Finding the Fourth Proportional to 12,270.79, 18,411.65 and 4,477.78

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Solution

The fourth proportional to 12,270.79, 18,411.65 and 4,477.78 is: 6,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.79 : 18,411.65 = 4,477.78 : x
  2. Step 2: Convert to fraction form
    12,270.79/18,411.65 = 4,477.78/x
  3. Step 3: Cross multiply
    12,270.79x = 18,411.65 × 4,477.78
  4. Step 4: Simplify right side
    12,270.79x = 82,443,360.74
  5. Step 5: Solve for x
    x = 82,443,360.74/12,270.79
  6. Step 6: Final answer
    x = 6,718.67

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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.