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Finding the Fourth Proportional to 14,709.77, 20,285.64 and 11,347.26

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Solution

The fourth proportional to 14,709.77, 20,285.64 and 11,347.26 is: 15,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.77 : 20,285.64 = 11,347.26 : x
  2. Step 2: Convert to fraction form
    14,709.77/20,285.64 = 11,347.26/x
  3. Step 3: Cross multiply
    14,709.77x = 20,285.64 × 11,347.26
  4. Step 4: Simplify right side
    14,709.77x = 230,186,431.35
  5. Step 5: Solve for x
    x = 230,186,431.35/14,709.77
  6. Step 6: Final answer
    x = 15,648.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.