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Finding the Fourth Proportional to 13,024.69, 17,974.02 and 7,056.35

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Solution

The fourth proportional to 13,024.69, 17,974.02 and 7,056.35 is: 9,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.69 : 17,974.02 = 7,056.35 : x
  2. Step 2: Convert to fraction form
    13,024.69/17,974.02 = 7,056.35/x
  3. Step 3: Cross multiply
    13,024.69x = 17,974.02 × 7,056.35
  4. Step 4: Simplify right side
    13,024.69x = 126,830,976.03
  5. Step 5: Solve for x
    x = 126,830,976.03/13,024.69
  6. Step 6: Final answer
    x = 9,737.74

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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.