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Finding the Fourth Proportional to 21,813, 32,698.69 and 7,011.51

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Solution

The fourth proportional to 21,813, 32,698.69 and 7,011.51 is: 10,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813 : 32,698.69 = 7,011.51 : x
  2. Step 2: Convert to fraction form
    21,813/32,698.69 = 7,011.51/x
  3. Step 3: Cross multiply
    21,813x = 32,698.69 × 7,011.51
  4. Step 4: Simplify right side
    21,813x = 229,267,191.92
  5. Step 5: Solve for x
    x = 229,267,191.92/21,813
  6. Step 6: Final answer
    x = 10,510.58

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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.