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Finding the Fourth Proportional to 13,904.41, 20,842.03 and 6,502.63

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Solution

The fourth proportional to 13,904.41, 20,842.03 and 6,502.63 is: 9,747.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.41 : 20,842.03 = 6,502.63 : x
  2. Step 2: Convert to fraction form
    13,904.41/20,842.03 = 6,502.63/x
  3. Step 3: Cross multiply
    13,904.41x = 20,842.03 × 6,502.63
  4. Step 4: Simplify right side
    13,904.41x = 135,528,009.54
  5. Step 5: Solve for x
    x = 135,528,009.54/13,904.41
  6. Step 6: Final answer
    x = 9,747.12

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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.