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Finding the Fourth Proportional to 21,544.98, 32,318.04 and 7,693.98

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Solution

The fourth proportional to 21,544.98, 32,318.04 and 7,693.98 is: 11,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,544.98 : 32,318.04 = 7,693.98 : x
  2. Step 2: Convert to fraction form
    21,544.98/32,318.04 = 7,693.98/x
  3. Step 3: Cross multiply
    21,544.98x = 32,318.04 × 7,693.98
  4. Step 4: Simplify right side
    21,544.98x = 248,654,353.40
  5. Step 5: Solve for x
    x = 248,654,353.40/21,544.98
  6. Step 6: Final answer
    x = 11,541.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.