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Finding the Fourth Proportional to 13,477.61, 20,218.76 and 4,592.46

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Solution

The fourth proportional to 13,477.61, 20,218.76 and 4,592.46 is: 6,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.61 : 20,218.76 = 4,592.46 : x
  2. Step 2: Convert to fraction form
    13,477.61/20,218.76 = 4,592.46/x
  3. Step 3: Cross multiply
    13,477.61x = 20,218.76 × 4,592.46
  4. Step 4: Simplify right side
    13,477.61x = 92,853,942.46
  5. Step 5: Solve for x
    x = 92,853,942.46/13,477.61
  6. Step 6: Final answer
    x = 6,889.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.