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Finding the Fourth Proportional to 13,012, 17,957.46 and 7,423

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Solution

The fourth proportional to 13,012, 17,957.46 and 7,423 is: 10,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012 : 17,957.46 = 7,423 : x
  2. Step 2: Convert to fraction form
    13,012/17,957.46 = 7,423/x
  3. Step 3: Cross multiply
    13,012x = 17,957.46 × 7,423
  4. Step 4: Simplify right side
    13,012x = 133,298,225.58
  5. Step 5: Solve for x
    x = 133,298,225.58/13,012
  6. Step 6: Final answer
    x = 10,244.25

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Why These Related Problems?

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