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Finding the Fourth Proportional to 12,971.61, 17,905.05 and 9,613.35

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Solution

The fourth proportional to 12,971.61, 17,905.05 and 9,613.35 is: 13,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.61 : 17,905.05 = 9,613.35 : x
  2. Step 2: Convert to fraction form
    12,971.61/17,905.05 = 9,613.35/x
  3. Step 3: Cross multiply
    12,971.61x = 17,905.05 × 9,613.35
  4. Step 4: Simplify right side
    12,971.61x = 172,127,512.42
  5. Step 5: Solve for x
    x = 172,127,512.42/12,971.61
  6. Step 6: Final answer
    x = 13,269.56

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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.