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Finding the Fourth Proportional to 13,848.71, 20,776.03 and 4,489.63

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Solution

The fourth proportional to 13,848.71, 20,776.03 and 4,489.63 is: 6,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.71 : 20,776.03 = 4,489.63 : x
  2. Step 2: Convert to fraction form
    13,848.71/20,776.03 = 4,489.63/x
  3. Step 3: Cross multiply
    13,848.71x = 20,776.03 × 4,489.63
  4. Step 4: Simplify right side
    13,848.71x = 93,276,624.40
  5. Step 5: Solve for x
    x = 93,276,624.40/13,848.71
  6. Step 6: Final answer
    x = 6,735.40

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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.