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Finding the Fourth Proportional to 13,628.32, 20,444.16 and 4,864.16

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Solution

The fourth proportional to 13,628.32, 20,444.16 and 4,864.16 is: 7,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.32 : 20,444.16 = 4,864.16 : x
  2. Step 2: Convert to fraction form
    13,628.32/20,444.16 = 4,864.16/x
  3. Step 3: Cross multiply
    13,628.32x = 20,444.16 × 4,864.16
  4. Step 4: Simplify right side
    13,628.32x = 99,443,665.31
  5. Step 5: Solve for x
    x = 99,443,665.31/13,628.32
  6. Step 6: Final answer
    x = 7,296.84

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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.