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Finding the Fourth Proportional to 21,097.74, 29,102.16 and 13,927.71

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Solution

The fourth proportional to 21,097.74, 29,102.16 and 13,927.71 is: 19,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.74 : 29,102.16 = 13,927.71 : x
  2. Step 2: Convert to fraction form
    21,097.74/29,102.16 = 13,927.71/x
  3. Step 3: Cross multiply
    21,097.74x = 29,102.16 × 13,927.71
  4. Step 4: Simplify right side
    21,097.74x = 405,326,444.85
  5. Step 5: Solve for x
    x = 405,326,444.85/21,097.74
  6. Step 6: Final answer
    x = 19,211.84

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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.