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Finding the Fourth Proportional to 12,541.70, 17,302.92 and 7,506.04

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Solution

The fourth proportional to 12,541.70, 17,302.92 and 7,506.04 is: 10,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.70 : 17,302.92 = 7,506.04 : x
  2. Step 2: Convert to fraction form
    12,541.70/17,302.92 = 7,506.04/x
  3. Step 3: Cross multiply
    12,541.70x = 17,302.92 × 7,506.04
  4. Step 4: Simplify right side
    12,541.70x = 129,876,409.64
  5. Step 5: Solve for x
    x = 129,876,409.64/12,541.70
  6. Step 6: Final answer
    x = 10,355.57

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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.