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Finding the Fourth Proportional to 14,678.64, 22,017.92 and 7,288.26

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Solution

The fourth proportional to 14,678.64, 22,017.92 and 7,288.26 is: 10,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.64 : 22,017.92 = 7,288.26 : x
  2. Step 2: Convert to fraction form
    14,678.64/22,017.92 = 7,288.26/x
  3. Step 3: Cross multiply
    14,678.64x = 22,017.92 × 7,288.26
  4. Step 4: Simplify right side
    14,678.64x = 160,472,289.18
  5. Step 5: Solve for x
    x = 160,472,289.18/14,678.64
  6. Step 6: Final answer
    x = 10,932.37

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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.