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Finding the Fourth Proportional to 12,135.84, 18,164.80 and 6,505.68

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Solution

The fourth proportional to 12,135.84, 18,164.80 and 6,505.68 is: 9,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.84 : 18,164.80 = 6,505.68 : x
  2. Step 2: Convert to fraction form
    12,135.84/18,164.80 = 6,505.68/x
  3. Step 3: Cross multiply
    12,135.84x = 18,164.80 × 6,505.68
  4. Step 4: Simplify right side
    12,135.84x = 118,174,376.06
  5. Step 5: Solve for x
    x = 118,174,376.06/12,135.84
  6. Step 6: Final answer
    x = 9,737.63

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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.