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Finding the Fourth Proportional to 13,492, 20,237.96 and 10,377.56

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Solution

The fourth proportional to 13,492, 20,237.96 and 10,377.56 is: 15,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492 : 20,237.96 = 10,377.56 : x
  2. Step 2: Convert to fraction form
    13,492/20,237.96 = 10,377.56/x
  3. Step 3: Cross multiply
    13,492x = 20,237.96 × 10,377.56
  4. Step 4: Simplify right side
    13,492x = 210,020,644.18
  5. Step 5: Solve for x
    x = 210,020,644.18/13,492
  6. Step 6: Final answer
    x = 15,566.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.