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Finding the Fourth Proportional to 14,510.91, 21,767.88 and 6,191.81

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Solution

The fourth proportional to 14,510.91, 21,767.88 and 6,191.81 is: 9,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.91 : 21,767.88 = 6,191.81 : x
  2. Step 2: Convert to fraction form
    14,510.91/21,767.88 = 6,191.81/x
  3. Step 3: Cross multiply
    14,510.91x = 21,767.88 × 6,191.81
  4. Step 4: Simplify right side
    14,510.91x = 134,782,577.06
  5. Step 5: Solve for x
    x = 134,782,577.06/14,510.91
  6. Step 6: Final answer
    x = 9,288.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.