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Finding the Fourth Proportional to 18,480, 25,502.40 and 10,096.56

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Solution

The fourth proportional to 18,480, 25,502.40 and 10,096.56 is: 13,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,480 : 25,502.40 = 10,096.56 : x
  2. Step 2: Convert to fraction form
    18,480/25,502.40 = 10,096.56/x
  3. Step 3: Cross multiply
    18,480x = 25,502.40 × 10,096.56
  4. Step 4: Simplify right side
    18,480x = 257,486,511.74
  5. Step 5: Solve for x
    x = 257,486,511.74/18,480
  6. Step 6: Final answer
    x = 13,933.25

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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.