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Finding the Fourth Proportional to 20,898.81, 28,840.35 and 11,946.50

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Solution

The fourth proportional to 20,898.81, 28,840.35 and 11,946.50 is: 16,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.81 : 28,840.35 = 11,946.50 : x
  2. Step 2: Convert to fraction form
    20,898.81/28,840.35 = 11,946.50/x
  3. Step 3: Cross multiply
    20,898.81x = 28,840.35 × 11,946.50
  4. Step 4: Simplify right side
    20,898.81x = 344,541,313.38
  5. Step 5: Solve for x
    x = 344,541,313.38/20,898.81
  6. Step 6: Final answer
    x = 16,486.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.