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Finding the Fourth Proportional to 21,852.19, 32,778.31 and 9,364.11

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Solution

The fourth proportional to 21,852.19, 32,778.31 and 9,364.11 is: 14,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.19 : 32,778.31 = 9,364.11 : x
  2. Step 2: Convert to fraction form
    21,852.19/32,778.31 = 9,364.11/x
  3. Step 3: Cross multiply
    21,852.19x = 32,778.31 × 9,364.11
  4. Step 4: Simplify right side
    21,852.19x = 306,939,700.45
  5. Step 5: Solve for x
    x = 306,939,700.45/21,852.19
  6. Step 6: Final answer
    x = 14,046.18

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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.