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Finding the Fourth Proportional to 13,024.78, 17,974.06 and 7,056.10

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Solution

The fourth proportional to 13,024.78, 17,974.06 and 7,056.10 is: 9,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.78 : 17,974.06 = 7,056.10 : x
  2. Step 2: Convert to fraction form
    13,024.78/17,974.06 = 7,056.10/x
  3. Step 3: Cross multiply
    13,024.78x = 17,974.06 × 7,056.10
  4. Step 4: Simplify right side
    13,024.78x = 126,826,764.77
  5. Step 5: Solve for x
    x = 126,826,764.77/13,024.78
  6. Step 6: Final answer
    x = 9,737.34

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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.