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Finding the Fourth Proportional to 21,838.32, 32,770.18 and 9,187.15

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Solution

The fourth proportional to 21,838.32, 32,770.18 and 9,187.15 is: 13,786.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.32 : 32,770.18 = 9,187.15 : x
  2. Step 2: Convert to fraction form
    21,838.32/32,770.18 = 9,187.15/x
  3. Step 3: Cross multiply
    21,838.32x = 32,770.18 × 9,187.15
  4. Step 4: Simplify right side
    21,838.32x = 301,064,559.19
  5. Step 5: Solve for x
    x = 301,064,559.19/21,838.32
  6. Step 6: Final answer
    x = 13,786.07

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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.