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Finding the Fourth Proportional to 12,623.16, 17,415.90 and 7,033.08

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Solution

The fourth proportional to 12,623.16, 17,415.90 and 7,033.08 is: 9,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,623.16 : 17,415.90 = 7,033.08 : x
  2. Step 2: Convert to fraction form
    12,623.16/17,415.90 = 7,033.08/x
  3. Step 3: Cross multiply
    12,623.16x = 17,415.90 × 7,033.08
  4. Step 4: Simplify right side
    12,623.16x = 122,487,417.97
  5. Step 5: Solve for x
    x = 122,487,417.97/12,623.16
  6. Step 6: Final answer
    x = 9,703.39

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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.