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Finding the Fourth Proportional to 18,507, 25,540.02 and 10,123.68

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Solution

The fourth proportional to 18,507, 25,540.02 and 10,123.68 is: 13,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507 : 25,540.02 = 10,123.68 : x
  2. Step 2: Convert to fraction form
    18,507/25,540.02 = 10,123.68/x
  3. Step 3: Cross multiply
    18,507x = 25,540.02 × 10,123.68
  4. Step 4: Simplify right side
    18,507x = 258,558,989.67
  5. Step 5: Solve for x
    x = 258,558,989.67/18,507
  6. Step 6: Final answer
    x = 13,970.88

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1.5x scale

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.