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Finding the Fourth Proportional to 13,586.31, 18,750 and 7,618.35

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Solution

The fourth proportional to 13,586.31, 18,750 and 7,618.35 is: 10,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.31 : 18,750 = 7,618.35 : x
  2. Step 2: Convert to fraction form
    13,586.31/18,750 = 7,618.35/x
  3. Step 3: Cross multiply
    13,586.31x = 18,750 × 7,618.35
  4. Step 4: Simplify right side
    13,586.31x = 142,844,062.50
  5. Step 5: Solve for x
    x = 142,844,062.50/13,586.31
  6. Step 6: Final answer
    x = 10,513.82

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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.