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Finding the Fourth Proportional to 18,598.68, 25,666.38 and 10,215

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Solution

The fourth proportional to 18,598.68, 25,666.38 and 10,215 is: 14,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,598.68 : 25,666.38 = 10,215 : x
  2. Step 2: Convert to fraction form
    18,598.68/25,666.38 = 10,215/x
  3. Step 3: Cross multiply
    18,598.68x = 25,666.38 × 10,215
  4. Step 4: Simplify right side
    18,598.68x = 262,182,071.70
  5. Step 5: Solve for x
    x = 262,182,071.70/18,598.68
  6. Step 6: Final answer
    x = 14,096.81

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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.