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Finding the Fourth Proportional to 11,607.38, 16,011.89 and 10,020.59

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Solution

The fourth proportional to 11,607.38, 16,011.89 and 10,020.59 is: 13,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.38 : 16,011.89 = 10,020.59 : x
  2. Step 2: Convert to fraction form
    11,607.38/16,011.89 = 10,020.59/x
  3. Step 3: Cross multiply
    11,607.38x = 16,011.89 × 10,020.59
  4. Step 4: Simplify right side
    11,607.38x = 160,448,504.76
  5. Step 5: Solve for x
    x = 160,448,504.76/11,607.38
  6. Step 6: Final answer
    x = 13,822.98

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Why These Related Problems?

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