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Finding the Fourth Proportional to 12,008.06, 16,570.58 and 6,971.88

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Solution

The fourth proportional to 12,008.06, 16,570.58 and 6,971.88 is: 9,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.06 : 16,570.58 = 6,971.88 : x
  2. Step 2: Convert to fraction form
    12,008.06/16,570.58 = 6,971.88/x
  3. Step 3: Cross multiply
    12,008.06x = 16,570.58 × 6,971.88
  4. Step 4: Simplify right side
    12,008.06x = 115,528,095.29
  5. Step 5: Solve for x
    x = 115,528,095.29/12,008.06
  6. Step 6: Final answer
    x = 9,620.88

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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.