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Finding the Fourth Proportional to 12,596.40, 18,875.40 and 11,905.20

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Solution

The fourth proportional to 12,596.40, 18,875.40 and 11,905.20 is: 17,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.40 : 18,875.40 = 11,905.20 : x
  2. Step 2: Convert to fraction form
    12,596.40/18,875.40 = 11,905.20/x
  3. Step 3: Cross multiply
    12,596.40x = 18,875.40 × 11,905.20
  4. Step 4: Simplify right side
    12,596.40x = 224,715,412.08
  5. Step 5: Solve for x
    x = 224,715,412.08/12,596.40
  6. Step 6: Final answer
    x = 17,839.65

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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.