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Finding the Fourth Proportional to 12,537.93, 17,302.24 and 6,873.00

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Solution

The fourth proportional to 12,537.93, 17,302.24 and 6,873.00 is: 9,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.93 : 17,302.24 = 6,873.00 : x
  2. Step 2: Convert to fraction form
    12,537.93/17,302.24 = 6,873.00/x
  3. Step 3: Cross multiply
    12,537.93x = 17,302.24 × 6,873.00
  4. Step 4: Simplify right side
    12,537.93x = 118,918,239.23
  5. Step 5: Solve for x
    x = 118,918,239.23/12,537.93
  6. Step 6: Final answer
    x = 9,484.68

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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.