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Finding the Fourth Proportional to 18,688.34, 25,785.38 and 11,129.82

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Solution

The fourth proportional to 18,688.34, 25,785.38 and 11,129.82 is: 15,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,688.34 : 25,785.38 = 11,129.82 : x
  2. Step 2: Convert to fraction form
    18,688.34/25,785.38 = 11,129.82/x
  3. Step 3: Cross multiply
    18,688.34x = 25,785.38 × 11,129.82
  4. Step 4: Simplify right side
    18,688.34x = 286,986,665.86
  5. Step 5: Solve for x
    x = 286,986,665.86/18,688.34
  6. Step 6: Final answer
    x = 15,356.46

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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.