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Finding the Fourth Proportional to 16,299, 24,460.78 and 11,927.72

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Solution

The fourth proportional to 16,299, 24,460.78 and 11,927.72 is: 17,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299 : 24,460.78 = 11,927.72 : x
  2. Step 2: Convert to fraction form
    16,299/24,460.78 = 11,927.72/x
  3. Step 3: Cross multiply
    16,299x = 24,460.78 × 11,927.72
  4. Step 4: Simplify right side
    16,299x = 291,761,334.82
  5. Step 5: Solve for x
    x = 291,761,334.82/16,299
  6. Step 6: Final answer
    x = 17,900.57

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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.