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Finding the Fourth Proportional to 21,954.23, 32,932.51 and 6,962.53

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Solution

The fourth proportional to 21,954.23, 32,932.51 and 6,962.53 is: 10,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.23 : 32,932.51 = 6,962.53 : x
  2. Step 2: Convert to fraction form
    21,954.23/32,932.51 = 6,962.53/x
  3. Step 3: Cross multiply
    21,954.23x = 32,932.51 × 6,962.53
  4. Step 4: Simplify right side
    21,954.23x = 229,293,647.42
  5. Step 5: Solve for x
    x = 229,293,647.42/21,954.23
  6. Step 6: Final answer
    x = 10,444.17

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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.