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Finding the Fourth Proportional to 21,365.30, 29,490.34 and 12,416.82

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Solution

The fourth proportional to 21,365.30, 29,490.34 and 12,416.82 is: 17,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365.30 : 29,490.34 = 12,416.82 : x
  2. Step 2: Convert to fraction form
    21,365.30/29,490.34 = 12,416.82/x
  3. Step 3: Cross multiply
    21,365.30x = 29,490.34 × 12,416.82
  4. Step 4: Simplify right side
    21,365.30x = 366,176,243.52
  5. Step 5: Solve for x
    x = 366,176,243.52/21,365.30
  6. Step 6: Final answer
    x = 17,138.83

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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.