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Finding the Fourth Proportional to 13,012.57, 17,957.34 and 7,423.57

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Solution

The fourth proportional to 13,012.57, 17,957.34 and 7,423.57 is: 10,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.57 : 17,957.34 = 7,423.57 : x
  2. Step 2: Convert to fraction form
    13,012.57/17,957.34 = 7,423.57/x
  3. Step 3: Cross multiply
    13,012.57x = 17,957.34 × 7,423.57
  4. Step 4: Simplify right side
    13,012.57x = 133,307,570.50
  5. Step 5: Solve for x
    x = 133,307,570.50/13,012.57
  6. Step 6: Final answer
    x = 10,244.52

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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.