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Finding the Fourth Proportional to 18,497, 25,525.86 and 10,113.50

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Solution

The fourth proportional to 18,497, 25,525.86 and 10,113.50 is: 13,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497 : 25,525.86 = 10,113.50 : x
  2. Step 2: Convert to fraction form
    18,497/25,525.86 = 10,113.50/x
  3. Step 3: Cross multiply
    18,497x = 25,525.86 × 10,113.50
  4. Step 4: Simplify right side
    18,497x = 258,155,785.11
  5. Step 5: Solve for x
    x = 258,155,785.11/18,497
  6. Step 6: Final answer
    x = 13,956.63

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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.