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Finding the Fourth Proportional to 12,261.84, 18,395.48 and 4,470.63

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Solution

The fourth proportional to 12,261.84, 18,395.48 and 4,470.63 is: 6,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.84 : 18,395.48 = 4,470.63 : x
  2. Step 2: Convert to fraction form
    12,261.84/18,395.48 = 4,470.63/x
  3. Step 3: Cross multiply
    12,261.84x = 18,395.48 × 4,470.63
  4. Step 4: Simplify right side
    12,261.84x = 82,239,384.75
  5. Step 5: Solve for x
    x = 82,239,384.75/12,261.84
  6. Step 6: Final answer
    x = 6,706.94

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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.