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Finding the Fourth Proportional to 20,598.81, 28,426.05 and 11,646

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Solution

The fourth proportional to 20,598.81, 28,426.05 and 11,646 is: 16,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.81 : 28,426.05 = 11,646 : x
  2. Step 2: Convert to fraction form
    20,598.81/28,426.05 = 11,646/x
  3. Step 3: Cross multiply
    20,598.81x = 28,426.05 × 11,646
  4. Step 4: Simplify right side
    20,598.81x = 331,049,778.30
  5. Step 5: Solve for x
    x = 331,049,778.30/20,598.81
  6. Step 6: Final answer
    x = 16,071.31

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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.