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Finding the Fourth Proportional to 27,199.86, 40,751.52 and 11,370

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Solution

The fourth proportional to 27,199.86, 40,751.52 and 11,370 is: 17,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.86 : 40,751.52 = 11,370 : x
  2. Step 2: Convert to fraction form
    27,199.86/40,751.52 = 11,370/x
  3. Step 3: Cross multiply
    27,199.86x = 40,751.52 × 11,370
  4. Step 4: Simplify right side
    27,199.86x = 463,344,782.40
  5. Step 5: Solve for x
    x = 463,344,782.40/27,199.86
  6. Step 6: Final answer
    x = 17,034.82

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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.