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Finding the Fourth Proportional to 18,506, 25,538.69 and 10,122.50

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Solution

The fourth proportional to 18,506, 25,538.69 and 10,122.50 is: 13,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506 : 25,538.69 = 10,122.50 : x
  2. Step 2: Convert to fraction form
    18,506/25,538.69 = 10,122.50/x
  3. Step 3: Cross multiply
    18,506x = 25,538.69 × 10,122.50
  4. Step 4: Simplify right side
    18,506x = 258,515,389.53
  5. Step 5: Solve for x
    x = 258,515,389.53/18,506
  6. Step 6: Final answer
    x = 13,969.27

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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.