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Finding the Fourth Proportional to 18,502.89, 27,746.10 and 5,352.15

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Solution

The fourth proportional to 18,502.89, 27,746.10 and 5,352.15 is: 8,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,502.89 : 27,746.10 = 5,352.15 : x
  2. Step 2: Convert to fraction form
    18,502.89/27,746.10 = 5,352.15/x
  3. Step 3: Cross multiply
    18,502.89x = 27,746.10 × 5,352.15
  4. Step 4: Simplify right side
    18,502.89x = 148,501,289.12
  5. Step 5: Solve for x
    x = 148,501,289.12/18,502.89
  6. Step 6: Final answer
    x = 8,025.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.