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Finding the Fourth Proportional to 19,980, 27,575.64 and 11,914.66

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Solution

The fourth proportional to 19,980, 27,575.64 and 11,914.66 is: 16,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 27,575.64 = 11,914.66 : x
  2. Step 2: Convert to fraction form
    19,980/27,575.64 = 11,914.66/x
  3. Step 3: Cross multiply
    19,980x = 27,575.64 × 11,914.66
  4. Step 4: Simplify right side
    19,980x = 328,554,374.88
  5. Step 5: Solve for x
    x = 328,554,374.88/19,980
  6. Step 6: Final answer
    x = 16,444.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.