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Finding the Fourth Proportional to 27,907.64, 41,866.64 and 9,188.81

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Solution

The fourth proportional to 27,907.64, 41,866.64 and 9,188.81 is: 13,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.64 : 41,866.64 = 9,188.81 : x
  2. Step 2: Convert to fraction form
    27,907.64/41,866.64 = 9,188.81/x
  3. Step 3: Cross multiply
    27,907.64x = 41,866.64 × 9,188.81
  4. Step 4: Simplify right side
    27,907.64x = 384,704,554.35
  5. Step 5: Solve for x
    x = 384,704,554.35/27,907.64
  6. Step 6: Final answer
    x = 13,784.92

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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.