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Finding the Fourth Proportional to 14,409.72, 19,845.66 and 12,419.54

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Solution

The fourth proportional to 14,409.72, 19,845.66 and 12,419.54 is: 17,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.72 : 19,845.66 = 12,419.54 : x
  2. Step 2: Convert to fraction form
    14,409.72/19,845.66 = 12,419.54/x
  3. Step 3: Cross multiply
    14,409.72x = 19,845.66 × 12,419.54
  4. Step 4: Simplify right side
    14,409.72x = 246,473,968.20
  5. Step 5: Solve for x
    x = 246,473,968.20/14,409.72
  6. Step 6: Final answer
    x = 17,104.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.