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Finding the Fourth Proportional to 13,476.48, 20,201.76 and 4,236

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Solution

The fourth proportional to 13,476.48, 20,201.76 and 4,236 is: 6,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.48 : 20,201.76 = 4,236 : x
  2. Step 2: Convert to fraction form
    13,476.48/20,201.76 = 4,236/x
  3. Step 3: Cross multiply
    13,476.48x = 20,201.76 × 4,236
  4. Step 4: Simplify right side
    13,476.48x = 85,574,655.36
  5. Step 5: Solve for x
    x = 85,574,655.36/13,476.48
  6. Step 6: Final answer
    x = 6,349.93

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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.