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Finding the Fourth Proportional to 12,470.51, 17,209.32 and 6,805.24

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Solution

The fourth proportional to 12,470.51, 17,209.32 and 6,805.24 is: 9,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,470.51 : 17,209.32 = 6,805.24 : x
  2. Step 2: Convert to fraction form
    12,470.51/17,209.32 = 6,805.24/x
  3. Step 3: Cross multiply
    12,470.51x = 17,209.32 × 6,805.24
  4. Step 4: Simplify right side
    12,470.51x = 117,113,552.84
  5. Step 5: Solve for x
    x = 117,113,552.84/12,470.51
  6. Step 6: Final answer
    x = 9,391.24

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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.