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Finding the Fourth Proportional to 14,551.12, 21,833.16 and 7,624

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Solution

The fourth proportional to 14,551.12, 21,833.16 and 7,624 is: 11,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.12 : 21,833.16 = 7,624 : x
  2. Step 2: Convert to fraction form
    14,551.12/21,833.16 = 7,624/x
  3. Step 3: Cross multiply
    14,551.12x = 21,833.16 × 7,624
  4. Step 4: Simplify right side
    14,551.12x = 166,456,011.84
  5. Step 5: Solve for x
    x = 166,456,011.84/14,551.12
  6. Step 6: Final answer
    x = 11,439.40

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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.