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Finding the Fourth Proportional to 14,853.82, 22,277.06 and 6,535.92

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Solution

The fourth proportional to 14,853.82, 22,277.06 and 6,535.92 is: 9,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.82 : 22,277.06 = 6,535.92 : x
  2. Step 2: Convert to fraction form
    14,853.82/22,277.06 = 6,535.92/x
  3. Step 3: Cross multiply
    14,853.82x = 22,277.06 × 6,535.92
  4. Step 4: Simplify right side
    14,853.82x = 145,601,082.00
  5. Step 5: Solve for x
    x = 145,601,082.00/14,853.82
  6. Step 6: Final answer
    x = 9,802.27

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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.