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Finding the Fourth Proportional to 12,971.88, 17,897.04 and 7,668.48

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Solution

The fourth proportional to 12,971.88, 17,897.04 and 7,668.48 is: 10,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.88 : 17,897.04 = 7,668.48 : x
  2. Step 2: Convert to fraction form
    12,971.88/17,897.04 = 7,668.48/x
  3. Step 3: Cross multiply
    12,971.88x = 17,897.04 × 7,668.48
  4. Step 4: Simplify right side
    12,971.88x = 137,243,093.30
  5. Step 5: Solve for x
    x = 137,243,093.30/12,971.88
  6. Step 6: Final answer
    x = 10,580.05

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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.