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Finding the Fourth Proportional to 12,337.01, 17,009.64 and 10,295.85

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Solution

The fourth proportional to 12,337.01, 17,009.64 and 10,295.85 is: 14,195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.01 : 17,009.64 = 10,295.85 : x
  2. Step 2: Convert to fraction form
    12,337.01/17,009.64 = 10,295.85/x
  3. Step 3: Cross multiply
    12,337.01x = 17,009.64 × 10,295.85
  4. Step 4: Simplify right side
    12,337.01x = 175,128,699.06
  5. Step 5: Solve for x
    x = 175,128,699.06/12,337.01
  6. Step 6: Final answer
    x = 14,195.39

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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.