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Finding the Fourth Proportional to 18,277.52, 27,417.26 and 5,798.54

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Solution

The fourth proportional to 18,277.52, 27,417.26 and 5,798.54 is: 8,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277.52 : 27,417.26 = 5,798.54 : x
  2. Step 2: Convert to fraction form
    18,277.52/27,417.26 = 5,798.54/x
  3. Step 3: Cross multiply
    18,277.52x = 27,417.26 × 5,798.54
  4. Step 4: Simplify right side
    18,277.52x = 158,980,191.50
  5. Step 5: Solve for x
    x = 158,980,191.50/18,277.52
  6. Step 6: Final answer
    x = 8,698.13

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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.