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Finding the Fourth Proportional to 21,205.58, 31,814.19 and 9,368.85

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Solution

The fourth proportional to 21,205.58, 31,814.19 and 9,368.85 is: 14,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.58 : 31,814.19 = 9,368.85 : x
  2. Step 2: Convert to fraction form
    21,205.58/31,814.19 = 9,368.85/x
  3. Step 3: Cross multiply
    21,205.58x = 31,814.19 × 9,368.85
  4. Step 4: Simplify right side
    21,205.58x = 298,062,373.98
  5. Step 5: Solve for x
    x = 298,062,373.98/21,205.58
  6. Step 6: Final answer
    x = 14,055.85

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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.