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Finding the Fourth Proportional to 12,980.32, 19,470.51 and 4,096.47

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Solution

The fourth proportional to 12,980.32, 19,470.51 and 4,096.47 is: 6,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.32 : 19,470.51 = 4,096.47 : x
  2. Step 2: Convert to fraction form
    12,980.32/19,470.51 = 4,096.47/x
  3. Step 3: Cross multiply
    12,980.32x = 19,470.51 × 4,096.47
  4. Step 4: Simplify right side
    12,980.32x = 79,760,433.11
  5. Step 5: Solve for x
    x = 79,760,433.11/12,980.32
  6. Step 6: Final answer
    x = 6,144.72

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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.