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Finding the Fourth Proportional to 13,654.75, 20,484.47 and 6,259.84

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Solution

The fourth proportional to 13,654.75, 20,484.47 and 6,259.84 is: 9,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.75 : 20,484.47 = 6,259.84 : x
  2. Step 2: Convert to fraction form
    13,654.75/20,484.47 = 6,259.84/x
  3. Step 3: Cross multiply
    13,654.75x = 20,484.47 × 6,259.84
  4. Step 4: Simplify right side
    13,654.75x = 128,229,595.55
  5. Step 5: Solve for x
    x = 128,229,595.55/13,654.75
  6. Step 6: Final answer
    x = 9,390.84

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