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Finding the Fourth Proportional to 21,741.76, 30,009 and 12,315.88

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Solution

The fourth proportional to 21,741.76, 30,009 and 12,315.88 is: 16,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,741.76 : 30,009 = 12,315.88 : x
  2. Step 2: Convert to fraction form
    21,741.76/30,009 = 12,315.88/x
  3. Step 3: Cross multiply
    21,741.76x = 30,009 × 12,315.88
  4. Step 4: Simplify right side
    21,741.76x = 369,587,242.92
  5. Step 5: Solve for x
    x = 369,587,242.92/21,741.76
  6. Step 6: Final answer
    x = 16,998.96

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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.