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Finding the Fourth Proportional to 27,911.42, 41,810.57 and 12,897.20

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Solution

The fourth proportional to 27,911.42, 41,810.57 and 12,897.20 is: 19,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.42 : 41,810.57 = 12,897.20 : x
  2. Step 2: Convert to fraction form
    27,911.42/41,810.57 = 12,897.20/x
  3. Step 3: Cross multiply
    27,911.42x = 41,810.57 × 12,897.20
  4. Step 4: Simplify right side
    27,911.42x = 539,239,009.87
  5. Step 5: Solve for x
    x = 539,239,009.87/27,911.42
  6. Step 6: Final answer
    x = 19,319.66

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