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Finding the Fourth Proportional to 12,349.40, 18,524.10 and 10,405.40

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Solution

The fourth proportional to 12,349.40, 18,524.10 and 10,405.40 is: 15,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.40 : 18,524.10 = 10,405.40 : x
  2. Step 2: Convert to fraction form
    12,349.40/18,524.10 = 10,405.40/x
  3. Step 3: Cross multiply
    12,349.40x = 18,524.10 × 10,405.40
  4. Step 4: Simplify right side
    12,349.40x = 192,750,670.14
  5. Step 5: Solve for x
    x = 192,750,670.14/12,349.40
  6. Step 6: Final answer
    x = 15,608.10

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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.