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Finding the Fourth Proportional to 13,833.76, 20,748.48 and 5,066.63

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Solution

The fourth proportional to 13,833.76, 20,748.48 and 5,066.63 is: 7,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.76 : 20,748.48 = 5,066.63 : x
  2. Step 2: Convert to fraction form
    13,833.76/20,748.48 = 5,066.63/x
  3. Step 3: Cross multiply
    13,833.76x = 20,748.48 × 5,066.63
  4. Step 4: Simplify right side
    13,833.76x = 105,124,871.22
  5. Step 5: Solve for x
    x = 105,124,871.22/13,833.76
  6. Step 6: Final answer
    x = 7,599.15

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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.