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Finding the Fourth Proportional to 12,509.24, 17,262.75 and 6,843.89

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Solution

The fourth proportional to 12,509.24, 17,262.75 and 6,843.89 is: 9,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.24 : 17,262.75 = 6,843.89 : x
  2. Step 2: Convert to fraction form
    12,509.24/17,262.75 = 6,843.89/x
  3. Step 3: Cross multiply
    12,509.24x = 17,262.75 × 6,843.89
  4. Step 4: Simplify right side
    12,509.24x = 118,144,430.92
  5. Step 5: Solve for x
    x = 118,144,430.92/12,509.24
  6. Step 6: Final answer
    x = 9,444.58

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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.