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Finding the Fourth Proportional to 16,707.30, 23,040.14 and 9,991.82

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Solution

The fourth proportional to 16,707.30, 23,040.14 and 9,991.82 is: 13,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.30 : 23,040.14 = 9,991.82 : x
  2. Step 2: Convert to fraction form
    16,707.30/23,040.14 = 9,991.82/x
  3. Step 3: Cross multiply
    16,707.30x = 23,040.14 × 9,991.82
  4. Step 4: Simplify right side
    16,707.30x = 230,212,931.65
  5. Step 5: Solve for x
    x = 230,212,931.65/16,707.30
  6. Step 6: Final answer
    x = 13,779.18

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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.