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Finding the Fourth Proportional to 21,262.50, 29,342.25 and 11,830.86

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Solution

The fourth proportional to 21,262.50, 29,342.25 and 11,830.86 is: 16,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.50 : 29,342.25 = 11,830.86 : x
  2. Step 2: Convert to fraction form
    21,262.50/29,342.25 = 11,830.86/x
  3. Step 3: Cross multiply
    21,262.50x = 29,342.25 × 11,830.86
  4. Step 4: Simplify right side
    21,262.50x = 347,144,051.84
  5. Step 5: Solve for x
    x = 347,144,051.84/21,262.50
  6. Step 6: Final answer
    x = 16,326.59

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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.