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Finding the Fourth Proportional to 21,299.86, 29,365.14 and 14,917.84

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Solution

The fourth proportional to 21,299.86, 29,365.14 and 14,917.84 is: 20,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.86 : 29,365.14 = 14,917.84 : x
  2. Step 2: Convert to fraction form
    21,299.86/29,365.14 = 14,917.84/x
  3. Step 3: Cross multiply
    21,299.86x = 29,365.14 × 14,917.84
  4. Step 4: Simplify right side
    21,299.86x = 438,064,460.10
  5. Step 5: Solve for x
    x = 438,064,460.10/21,299.86
  6. Step 6: Final answer
    x = 20,566.54

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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.