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Finding the Fourth Proportional to 12,419.84, 18,601.04 and 7,478.60

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Solution

The fourth proportional to 12,419.84, 18,601.04 and 7,478.60 is: 11,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.84 : 18,601.04 = 7,478.60 : x
  2. Step 2: Convert to fraction form
    12,419.84/18,601.04 = 7,478.60/x
  3. Step 3: Cross multiply
    12,419.84x = 18,601.04 × 7,478.60
  4. Step 4: Simplify right side
    12,419.84x = 139,109,607.35
  5. Step 5: Solve for x
    x = 139,109,607.35/12,419.84
  6. Step 6: Final answer
    x = 11,200.60

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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.