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Finding the Fourth Proportional to 12,477.51, 17,221.86 and 7,175.39

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Solution

The fourth proportional to 12,477.51, 17,221.86 and 7,175.39 is: 9,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.51 : 17,221.86 = 7,175.39 : x
  2. Step 2: Convert to fraction form
    12,477.51/17,221.86 = 7,175.39/x
  3. Step 3: Cross multiply
    12,477.51x = 17,221.86 × 7,175.39
  4. Step 4: Simplify right side
    12,477.51x = 123,573,501.03
  5. Step 5: Solve for x
    x = 123,573,501.03/12,477.51
  6. Step 6: Final answer
    x = 9,903.70

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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.